Algebra
Q. Find 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 => 5 + 1 > 3x - 2x => 6 > x => x < 6.
Correct Answer: D — x > 4
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Q. Find the solution for the inequality 3x + 2 ≥ 11.
-
A.
x ≥ 3
-
B.
x ≤ 3
-
C.
x ≥ 2
-
D.
x ≤ 2
Solution
3x + 2 ≥ 11 => 3x ≥ 9 => x ≥ 3.
Correct Answer: A — x ≥ 3
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Q. Find the solution for the inequality 3x - 5 ≥ 4.
-
A.
x ≥ 3
-
B.
x ≤ 3
-
C.
x ≥ 2
-
D.
x ≤ 2
Solution
3x - 5 ≥ 4 => 3x ≥ 9 => x ≥ 3.
Correct Answer: A — x ≥ 3
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Q. Find the solution for the inequality 6x - 4 ≤ 2x + 8.
-
A.
x ≤ 3
-
B.
x ≥ 3
-
C.
x ≤ 2
-
D.
x ≥ 2
Solution
6x - 4 ≤ 2x + 8 => 4x ≤ 12 => x ≥ 3.
Correct Answer: B — x ≥ 3
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Q. Find the solution for the inequality: -x + 4 ≤ 2.
-
A.
x ≥ 2
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B.
x ≤ 2
-
C.
x ≥ 4
-
D.
x ≤ 4
Solution
-x + 4 ≤ 2 => -x ≤ -2 => x ≥ 2.
Correct Answer: B — x ≤ 2
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Q. Find the solution for the inequality: 8x - 3 > 5.
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A.
x > 1
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B.
x < 1
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C.
x > 0.5
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D.
x < 0.5
Solution
8x - 3 > 5 => 8x > 8 => x > 1.
Correct Answer: A — x > 1
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Q. Find the solution set for the inequality -2x + 3 > 1.
-
A.
x < 1
-
B.
x > 1
-
C.
x < 2
-
D.
x > 2
Solution
Subtract 3 from both sides: -2x > -2. Then divide by -2 (reverse the inequality): x < 1.
Correct Answer: B — x > 1
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Q. Find the solution set for the inequality -2x + 4 < 0.
-
A.
x > 2
-
B.
x < 2
-
C.
x > 4
-
D.
x < 4
Solution
Subtract 4 from both sides: -2x < -4. Then divide by -2 (reverse the inequality): x > 2.
Correct Answer: A — x > 2
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Q. Find the solution set for the inequality -2x + 5 > 1.
-
A.
x < 2
-
B.
x > 2
-
C.
x < 3
-
D.
x > 3
Solution
-2x + 5 > 1 => -2x > -4 => x < 2.
Correct Answer: B — x > 2
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Q. Find the solution set for the inequality -3x + 1 ≤ 4.
-
A.
x ≥ -1
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B.
x ≤ -1
-
C.
x ≥ 1
-
D.
x ≤ 1
Solution
-3x + 1 ≤ 4 => -3x ≤ 3 => x ≥ -1.
Correct Answer: B — x ≤ -1
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Q. Find the solution set for the inequality -4x + 1 < 3.
-
A.
x < -0.5
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B.
x > -0.5
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C.
x < 0.5
-
D.
x > 0.5
Solution
-4x + 1 < 3 => -4x < 2 => x > -0.5.
Correct Answer: A — x < -0.5
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Q. Find the solution set for the inequality -x + 4 < 2.
-
A.
x > 2
-
B.
x < 2
-
C.
x > 4
-
D.
x < 4
Solution
-x + 4 < 2 => -x < -2 => x > 2.
Correct Answer: D — x < 4
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Q. Find the solution set for the inequality -x + 5 < 2.
-
A.
x > 3
-
B.
x < 3
-
C.
x ≥ 3
-
D.
x ≤ 3
Solution
-x + 5 < 2 => -x < -3 => x > 3.
Correct Answer: A — x > 3
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Q. Find the solution set for the inequality -x + 5 ≤ 2.
-
A.
x ≥ 3
-
B.
x ≤ 3
-
C.
x ≥ 5
-
D.
x ≤ 5
Solution
-x + 5 ≤ 2 => -x ≤ -3 => x ≥ 3.
Correct Answer: B — x ≤ 3
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Q. Find the solution set for the inequality 2(x - 1) ≥ 3.
-
A.
x ≥ 2.5
-
B.
x ≤ 2.5
-
C.
x ≥ 1.5
-
D.
x ≤ 1.5
Solution
2(x - 1) ≥ 3 => x - 1 ≥ 1.5 => x ≥ 2.5.
Correct Answer: A — x ≥ 2.5
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Q. Find the solution set for the inequality 2(x - 1) ≥ 3x + 4.
-
A.
x ≤ -6
-
B.
x ≥ -6
-
C.
x < -6
-
D.
x > -6
Solution
2(x - 1) ≥ 3x + 4 => 2x - 2 ≥ 3x + 4 => -x ≥ 6 => x ≤ -6.
Correct Answer: A — x ≤ -6
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Q. Find the solution set for the inequality 2(x - 1) ≥ 4.
-
A.
x < 3
-
B.
x > 3
-
C.
x ≤ 3
-
D.
x ≥ 3
Solution
2(x - 1) ≥ 4 => x - 1 ≥ 2 => x ≥ 3.
Correct Answer: D — x ≥ 3
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Q. Find the solution set for the inequality 2x + 1 ≤ 3x - 4.
-
A.
x < 5
-
B.
x > 5
-
C.
x ≤ 5
-
D.
x ≥ 5
Solution
2x + 1 ≤ 3x - 4 => 1 + 4 ≤ x => x ≥ 5.
Correct Answer: C — x ≤ 5
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Q. Find the solution set for the inequality 2x + 3 < 5x - 1.
-
A.
x < 4/3
-
B.
x > 4/3
-
C.
x < 2/3
-
D.
x > 2/3
Solution
2x + 3 < 5x - 1 => 4 < 3x => x > 4/3.
Correct Answer: B — x > 4/3
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Q. Find the solution set for the inequality 2x + 3 ≥ 7.
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A.
x < 2
-
B.
x > 2
-
C.
x ≤ 2
-
D.
x ≥ 2
Solution
2x + 3 ≥ 7 => 2x ≥ 4 => x ≥ 2.
Correct Answer: D — x ≥ 2
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Q. Find the solution set for the inequality 2x + 4 < 3x - 1.
-
A.
x < 5
-
B.
x > 5
-
C.
x ≤ 5
-
D.
x ≥ 5
Solution
2x + 4 < 3x - 1 => 5 < x => x > 5.
Correct Answer: B — x > 5
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Q. Find the solution set for the inequality 2x + 4 ≤ 10.
-
A.
x ≤ 3
-
B.
x < 3
-
C.
x ≥ 3
-
D.
x > 3
Solution
2x + 4 ≤ 10 => 2x ≤ 6 => x ≤ 3.
Correct Answer: C — x ≥ 3
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Q. Find the solution set for the inequality 2x + 4 ≥ 8.
-
A.
x < 2
-
B.
x > 2
-
C.
x ≤ 2
-
D.
x ≥ 2
Solution
2x + 4 ≥ 8 => 2x ≥ 4 => x ≥ 2.
Correct Answer: D — x ≥ 2
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Q. Find the solution set for the inequality 2x + 5 ≤ 3x - 1.
-
A.
x ≤ 6
-
B.
x ≥ 6
-
C.
x < 6
-
D.
x > 6
Solution
2x + 5 ≤ 3x - 1 => 5 + 1 ≤ 3x - 2x => 6 ≤ x => x ≥ 6.
Correct Answer: C — x < 6
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Q. Find the solution set for the inequality 2x - 4 > 0.
-
A.
x < 2
-
B.
x > 2
-
C.
x ≤ 2
-
D.
x ≥ 2
Solution
2x - 4 > 0 => 2x > 4 => x > 2.
Correct Answer: B — x > 2
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Q. Find the solution set for the inequality 2x - 7 < 3.
-
A.
x < 5
-
B.
x > 5
-
C.
x < 4
-
D.
x > 4
Solution
Add 7 to both sides: 2x < 10. Then divide by 2: x < 5.
Correct Answer: A — x < 5
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Q. Find the solution set for the inequality 3x + 1 ≤ 10.
-
A.
x ≤ 3
-
B.
x < 3
-
C.
x ≥ 3
-
D.
x > 3
Solution
3x + 1 ≤ 10 => 3x ≤ 9 => x ≤ 3.
Correct Answer: A — x ≤ 3
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Q. Find the solution set for the inequality 3x + 2 ≤ 11.
-
A.
x ≤ 3
-
B.
x < 3
-
C.
x ≥ 3
-
D.
x > 3
Solution
3x + 2 ≤ 11 => 3x ≤ 9 => x ≤ 3.
Correct Answer: A — x ≤ 3
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Q. Find the solution set for the inequality 3x + 4 ≤ 10.
-
A.
x ≤ 2
-
B.
x < 2
-
C.
x ≥ 2
-
D.
x > 2
Solution
3x + 4 ≤ 10 => 3x ≤ 6 => x ≤ 2.
Correct Answer: A — x ≤ 2
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Q. Find the solution set for the inequality 3x + 5 ≥ 2x + 8.
-
A.
x ≥ 3
-
B.
x ≤ 3
-
C.
x ≥ 5
-
D.
x ≤ 5
Solution
3x + 5 ≥ 2x + 8 => x ≥ 3.
Correct Answer: A — x ≥ 3
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