JEE Main
Q. Solve the inequality 2(x - 1) > 3. What is the solution?
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A.
x > 5/2
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B.
x < 5/2
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C.
x > 1/2
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D.
x < 1/2
Solution
2(x - 1) > 3 => x - 1 > 3/2 => x > 5/2.
Correct Answer: A — x > 5/2
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Q. Solve the inequality 2(x - 1) > 3x + 4. What is the solution?
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A.
x < -1
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B.
x > -1
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C.
x < 1
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D.
x > 1
Solution
2(x - 1) > 3x + 4 => 2x - 2 > 3x + 4 => -x > 6 => x < -6.
Correct Answer: A — x < -1
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Q. Solve the inequality 2x + 4 ≤ 10.
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A.
x ≤ 3
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B.
x < 3
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C.
x ≥ 3
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D.
x > 3
Solution
2x + 4 ≤ 10 => 2x ≤ 6 => x ≤ 3.
Correct Answer: A — x ≤ 3
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Q. Solve the inequality 2x - 1 ≥ 3. What is the solution set?
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A.
x < 2
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B.
x > 2
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C.
x ≤ 2
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D.
x ≥ 2
Solution
2x - 1 ≥ 3 => 2x ≥ 4 => x ≥ 2.
Correct Answer: D — x ≥ 2
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Q. Solve the inequality 2x - 3 < 5.
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A.
x < 4
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B.
x < 3
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C.
x > 4
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D.
x > 3
Solution
2x - 3 < 5 => 2x < 8 => x < 4.
Correct Answer: A — x < 4
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Q. Solve the inequality 2x - 3 < 5. What is the solution set?
-
A.
x < 4
-
B.
x > 4
-
C.
x < 3
-
D.
x > 3
Solution
2x - 3 < 5 => 2x < 8 => x < 4.
Correct Answer: A — x < 4
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Q. Solve the inequality 2x - 7 ≥ 3. What is the solution?
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A.
x < 5
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B.
x > 5
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C.
x ≤ 5
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D.
x ≥ 5
Solution
2x - 7 ≥ 3 => 2x ≥ 10 => x ≥ 5.
Correct Answer: D — x ≥ 5
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Q. Solve the inequality 3x + 2 > 5x - 4. What is the solution?
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A.
x < 3
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B.
x > 3
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C.
x < 2
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D.
x > 2
Solution
3x + 2 > 5x - 4 => 2 > 2x => x < 1.
Correct Answer: B — x > 3
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Q. Solve the inequality 3x + 5 < 2x + 8.
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A.
x < 3
-
B.
x > 3
-
C.
x < 2
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D.
x > 2
Solution
3x + 5 < 2x + 8 => x < 3.
Correct Answer: A — x < 3
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Q. Solve the inequality 3x - 4 < 2x + 1.
-
A.
x < 5
-
B.
x > 5
-
C.
x ≤ 5
-
D.
x ≥ 5
Solution
3x - 4 < 2x + 1 => x < 5.
Correct Answer: A — x < 5
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Q. Solve the inequality 3x - 7 < 2x + 1.
-
A.
x < 8
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B.
x > 8
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C.
x < 6
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D.
x > 6
Solution
3x - 7 < 2x + 1 => x < 8.
Correct Answer: C — x < 6
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Q. Solve the inequality 4 - 2x ≤ 10. What is the solution?
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A.
x ≥ -3
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B.
x ≤ -3
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C.
x > -3
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D.
x < -3
Solution
4 - 2x ≤ 10 => -2x ≤ 6 => x ≥ -3.
Correct Answer: A — x ≥ -3
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Q. Solve the inequality 4 - x > 2x + 1. What is the solution?
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A.
x < 1
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B.
x > 1
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C.
x < 2
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D.
x > 2
Solution
4 - x > 2x + 1 => 3 > 3x => x < 1.
Correct Answer: A — x < 1
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Q. Solve the inequality 4 - x ≤ 2.
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A.
x ≥ 2
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B.
x ≤ 2
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C.
x > 2
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D.
x < 2
Solution
4 - x ≤ 2 => -x ≤ -2 => x ≥ 2.
Correct Answer: B — x ≤ 2
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Q. Solve the inequality 4 - x ≤ 2x + 1. What is the solution?
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A.
x ≤ 1
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B.
x ≥ 1
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C.
x ≤ 2
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D.
x ≥ 2
Solution
4 - x ≤ 2x + 1 => 3 ≤ 3x => x ≥ 1.
Correct Answer: A — x ≤ 1
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Q. Solve the inequality 4x + 5 > 3x + 10. What is the solution?
-
A.
x < 5
-
B.
x > 5
-
C.
x < 10
-
D.
x > 10
Solution
4x + 5 > 3x + 10 => x > 5.
Correct Answer: B — x > 5
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Q. Solve the inequality 4x - 1 > 3x + 2. What is the solution?
-
A.
x < 3
-
B.
x > 3
-
C.
x ≤ 3
-
D.
x ≥ 3
Solution
4x - 1 > 3x + 2 => x > 3.
Correct Answer: B — x > 3
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Q. Solve the inequality 4x - 1 < 3x + 2.
-
A.
x < 3
-
B.
x > 3
-
C.
x < 1
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D.
x > 1
Solution
4x - 1 < 3x + 2 => x < 3.
Correct Answer: A — x < 3
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Q. Solve the inequality 4x - 1 ≥ 3x + 2. What is the solution?
-
A.
x ≥ 3
-
B.
x ≤ 3
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C.
x ≥ 1
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D.
x ≤ 1
Solution
4x - 1 ≥ 3x + 2 => x ≥ 3.
Correct Answer: C — x ≥ 1
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Q. Solve the inequality 4x - 7 > 9.
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A.
x > 4
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B.
x < 4
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C.
x > 3
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D.
x < 3
Solution
4x - 7 > 9 => 4x > 16 => x > 4.
Correct Answer: C — x > 3
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Q. Solve the inequality 4x - 7 < 9.
-
A.
x < 4
-
B.
x < 3
-
C.
x > 4
-
D.
x > 3
Solution
4x - 7 < 9 => 4x < 16 => x < 4.
Correct Answer: B — x < 3
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Q. Solve the inequality 4x - 7 ≥ 9.
-
A.
x ≥ 4
-
B.
x ≤ 4
-
C.
x > 4
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D.
x < 4
Solution
4x - 7 ≥ 9 => 4x ≥ 16 => x ≥ 4.
Correct Answer: A — x ≥ 4
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Q. Solve the inequality 5 - 2x > 1. What is the solution?
-
A.
x < 2
-
B.
x > 2
-
C.
x ≤ 2
-
D.
x ≥ 2
Solution
5 - 2x > 1 => -2x > -4 => x < 2.
Correct Answer: B — x > 2
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Q. Solve the inequality 5 - 2x > 3.
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A.
x < 1
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B.
x > 1
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C.
x < -1
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D.
x > -1
Solution
5 - 2x > 3 => -2x > -2 => x < 1.
Correct Answer: B — x > 1
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Q. Solve the inequality 5 - 2x ≤ 3. What is the solution?
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A.
x ≥ 1
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B.
x ≤ 1
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C.
x > 1
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D.
x < 1
Solution
5 - 2x ≤ 3 => -2x ≤ -2 => x ≥ 1.
Correct Answer: B — x ≤ 1
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Q. Solve the inequality 5 - 2x ≥ 3.
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A.
x ≤ 1
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B.
x ≥ 1
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C.
x ≤ 2
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D.
x ≥ 2
Solution
5 - 2x ≥ 3 => -2x ≥ -2 => x ≤ 1.
Correct Answer: B — x ≥ 1
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Q. Solve the inequality 5 - x ≤ 2.
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A.
x ≥ 3
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B.
x ≤ 3
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C.
x > 3
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D.
x < 3
Solution
5 - x ≤ 2 => -x ≤ -3 => x ≥ 3.
Correct Answer: B — x ≤ 3
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Q. Solve the inequality 5 - x ≥ 1.
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A.
x ≤ 4
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B.
x < 4
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C.
x ≥ 4
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D.
x > 4
Solution
5 - x ≥ 1 => -x ≥ -4 => x ≤ 4.
Correct Answer: A — x ≤ 4
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Q. Solve the inequality 5x - 7 > 3x + 1.
-
A.
x > 4
-
B.
x < 4
-
C.
x > 2
-
D.
x < 2
Solution
5x - 7 > 3x + 1 => 2x > 8 => x > 4.
Correct Answer: C — x > 2
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Q. Solve the inequality 6 - 2x > 4.
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A.
x < 1
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B.
x > 1
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C.
x < 2
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D.
x > 2
Solution
6 - 2x > 4 => -2x > -2 => x < 1.
Correct Answer: B — x > 1
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