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