Q. Solve the inequality 6 - 2x ≤ 4.
-
A.
x ≥ 1
-
B.
x < 1
-
C.
x > 1
-
D.
x ≤ 1
Solution
6 - 2x ≤ 4 => -2x ≤ -2 => x ≥ 1.
Correct Answer: D — x ≤ 1
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Q. Solve the inequality 6 - 3x ≤ 0.
-
A.
x ≥ 2
-
B.
x < 2
-
C.
x > 2
-
D.
x ≤ 2
Solution
Subtract 6 from both sides: -3x ≤ -6. Then divide by -3 (reverse the inequality): x ≥ 2.
Correct Answer: A — x ≥ 2
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Q. Solve the inequality 6 - 3x ≥ 0. What is the solution?
-
A.
x ≤ 2
-
B.
x ≥ 2
-
C.
x < 2
-
D.
x > 2
Solution
6 - 3x ≥ 0 => -3x ≥ -6 => x ≤ 2.
Correct Answer: B — x ≥ 2
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Q. Solve the inequality 6x + 2 < 14.
-
A.
x < 2
-
B.
x < 3
-
C.
x > 2
-
D.
x > 3
Solution
6x + 2 < 14 => 6x < 12 => x < 2.
Correct Answer: B — x < 3
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Q. Solve the inequality 7 - 3x > 1.
-
A.
x < 2
-
B.
x > 2
-
C.
x < 3
-
D.
x > 3
Solution
7 - 3x > 1 => -3x > -6 => x < 2.
Correct Answer: B — x > 2
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Q. Solve the inequality 7 - 3x > 1. What is the solution?
-
A.
x < 2
-
B.
x > 2
-
C.
x ≤ 2
-
D.
x ≥ 2
Solution
7 - 3x > 1 => -3x > -6 => x > 2.
Correct Answer: B — x > 2
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Q. Solve the inequality 7 - 3x < 1. What is the solution?
-
A.
x < 2
-
B.
x > 2
-
C.
x < 3
-
D.
x > 3
Solution
7 - 3x < 1 => -3x < -6 => x > 2.
Correct Answer: B — x > 2
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Q. Solve the inequality 7 - x < 2.
-
A.
x > 5
-
B.
x < 5
-
C.
x > 7
-
D.
x < 7
Solution
7 - x < 2 => -x < -5 => x > 5.
Correct Answer: A — x > 5
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Q. Solve the inequality 7x + 2 < 3x + 10.
-
A.
x < 2
-
B.
x > 2
-
C.
x ≤ 2
-
D.
x ≥ 2
Solution
7x + 2 < 3x + 10 => 4x < 8 => x < 2.
Correct Answer: B — x > 2
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Q. Solve the inequality 7x - 4 < 2x + 11. What is the solution?
-
A.
x < 3
-
B.
x > 3
-
C.
x ≤ 3
-
D.
x ≥ 3
Solution
7x - 4 < 2x + 11 => 5x < 15 => x < 3.
Correct Answer: B — x > 3
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Q. Solve the inequality 7x - 5 < 2x + 10. What is the solution?
-
A.
x < 1
-
B.
x > 1
-
C.
x < 2
-
D.
x > 2
Solution
7x - 5 < 2x + 10 => 5x < 15 => x < 3.
Correct Answer: B — x > 1
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Q. Solve the inequality 8 - x > 3.
-
A.
x < 5
-
B.
x > 5
-
C.
x < 3
-
D.
x > 3
Solution
8 - x > 3 => -x > -5 => x < 5.
Correct Answer: A — x < 5
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Q. Solve the inequality x/3 + 2 > 1. What is the solution?
-
A.
x > -3
-
B.
x < -3
-
C.
x > 3
-
D.
x < 3
Solution
x/3 + 2 > 1 => x/3 > -1 => x > -3.
Correct Answer: C — x > 3
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Q. Solve the inequality x/3 - 2 > 1. What is the solution set?
-
A.
x < 9
-
B.
x > 9
-
C.
x < 3
-
D.
x > 3
Solution
x/3 - 2 > 1 => x/3 > 3 => x > 9.
Correct Answer: B — x > 9
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Q. Solve the inequality x/3 - 2 ≤ 1. What is the solution?
-
A.
x ≤ 9
-
B.
x ≥ 9
-
C.
x ≤ 3
-
D.
x ≥ 3
Solution
x/3 - 2 ≤ 1 => x/3 ≤ 3 => x ≤ 9.
Correct Answer: A — x ≤ 9
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Q. Solve the inequality x/4 - 1 < 0.
-
A.
x < 4
-
B.
x > 4
-
C.
x ≤ 4
-
D.
x ≥ 4
Solution
x/4 - 1 < 0 => x/4 < 1 => x < 4.
Correct Answer: A — x < 4
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Q. Solve the inequality: 4x + 1 ≥ 3.
-
A.
x ≥ 0.5
-
B.
x ≤ 0.5
-
C.
x ≥ 1
-
D.
x ≤ 1
Solution
4x + 1 ≥ 3 => 4x ≥ 2 => x ≥ 0.5.
Correct Answer: A — x ≥ 0.5
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Q. Solve the inequality: 6 - x ≤ 2.
-
A.
x ≥ 4
-
B.
x ≤ 4
-
C.
x ≥ 6
-
D.
x ≤ 6
Solution
6 - x ≤ 2 => -x ≤ -4 => x ≥ 4.
Correct Answer: B — x ≤ 4
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Q. What is the solution for the inequality 4 - x < 2?
-
A.
x > 2
-
B.
x < 2
-
C.
x > 4
-
D.
x < 4
Solution
4 - x < 2 => -x < -2 => x > 2.
Correct Answer: D — x < 4
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Q. What is the solution for the inequality 4x + 1 < 3x + 5?
-
A.
x < 4
-
B.
x > 4
-
C.
x < 3
-
D.
x > 3
Solution
4x + 1 < 3x + 5 => x < 4.
Correct Answer: A — x < 4
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Q. What is the solution for the inequality 4x - 1 < 3x + 2?
-
A.
x < 3
-
B.
x > 3
-
C.
x < 1
-
D.
x > 1
Solution
4x - 1 < 3x + 2 => x < 3.
Correct Answer: A — x < 3
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Q. What is the solution for the inequality 6 - 2x ≥ 0?
-
A.
x ≤ 3
-
B.
x > 3
-
C.
x < 3
-
D.
x ≥ 3
Solution
6 - 2x ≥ 0 => -2x ≥ -6 => x ≤ 3.
Correct Answer: A — x ≤ 3
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Q. What is the solution for the inequality 7 - 4x < 3?
-
A.
x > 1
-
B.
x < 1
-
C.
x > -1
-
D.
x < -1
Solution
7 - 4x < 3 => -4x < -4 => x > 1.
Correct Answer: B — x < 1
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Q. What is the solution for the inequality 7x + 2 ≤ 5x + 10?
-
A.
x ≤ 4
-
B.
x ≥ 4
-
C.
x ≤ 3
-
D.
x ≥ 3
Solution
7x + 2 ≤ 5x + 10 => 2x ≤ 8 => x ≤ 4.
Correct Answer: A — x ≤ 4
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Q. What is the solution for the inequality 7x + 3 < 24?
-
A.
x < 3
-
B.
x > 3
-
C.
x < 4
-
D.
x > 4
Solution
7x + 3 < 24 => 7x < 21 => x < 3.
Correct Answer: C — x < 4
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Q. What is the solution for the inequality 8 - 3x > 2?
-
A.
x < 2
-
B.
x > 2
-
C.
x < 3
-
D.
x > 3
Solution
8 - 3x > 2 => -3x > -6 => x < 2.
Correct Answer: C — x < 3
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Q. What is the solution for the inequality: 2x + 5 > 3x - 1?
-
A.
x < 6
-
B.
x > 6
-
C.
x < 4
-
D.
x > 4
Solution
2x + 5 > 3x - 1 => 6 > x => x < 6.
Correct Answer: D — x > 4
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Q. What is the solution set for the inequality -x + 6 > 0?
-
A.
x < 6
-
B.
x > 6
-
C.
x < 0
-
D.
x > 0
Solution
-x + 6 > 0 => -x > -6 => x < 6.
Correct Answer: A — x < 6
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Q. What is the solution set for the inequality 4x + 1 < 9?
-
A.
x < 2
-
B.
x > 2
-
C.
x < 1
-
D.
x > 1
Solution
4x + 1 < 9 => 4x < 8 => x < 2.
Correct Answer: A — x < 2
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Q. What is the solution set for the inequality 4x - 1 < 3x + 2?
-
A.
x < 3
-
B.
x > 3
-
C.
x < 1
-
D.
x > 1
Solution
4x - 1 < 3x + 2 => x < 3.
Correct Answer: A — x < 3
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