#1
Solve the inequality: 3x + 5 > 14
x > 3
ExplanationValues of x greater than 3 satisfy the inequality.
#2
What is the solution set for the inequality: 4x + 7 > 3x + 10?
x > 3
ExplanationValues of x greater than 3 make the inequality true.
#3
Solve the inequality: 2x + 3 > 5x - 1
x < 1
ExplanationValues of x less than 1 make the inequality true.
#4
Solve the inequality: 2x - 5 > 3x + 2
x > -7
ExplanationValues of x greater than -7 make the inequality true.
#5
What is the solution set for the inequality: 2x + 6 > 3x - 5?
x > 5
ExplanationValues of x greater than 5 make the inequality true.
#6
Which of the following is the correct solution for the inequality: -2(4 - x) ≤ 3x - 6?
x ≥ 2
ExplanationThe inequality holds true for x values greater than or equal to 2.
#7
Solve the compound inequality: 2x - 3 < 7 and 5x + 2 ≥ 17
-2 ≤ x ≤ 5
ExplanationThe values of x between -2 and 5, inclusive, satisfy both inequalities.
#8
If 2x + 1 > 5 and 3x - 2 < 7, what is the solution to the system of inequalities?
x > 1
ExplanationValues of x greater than 1 satisfy both inequalities.
#9
Solve the inequality: 2(3x + 4) ≥ 5x - 6
x ≥ -2
ExplanationValues of x greater than or equal to -2 satisfy the inequality.
#10
Which of the following represents the solution to the inequality: 3(2 - x) ≥ 2x + 5?
x ≥ -2
ExplanationValues of x greater than or equal to -2 satisfy the inequality.
#11
Solve the compound inequality: 3x - 2 > 7 or 2x + 5 < 12
x < 3 or x > -2
ExplanationThe values of x less than 3 or greater than -2 satisfy either inequality.
#12
Which of the following is the correct solution for the inequality: 4(2 - x) + 5 ≥ 3x - 8?
x ≥ 3
ExplanationThe inequality holds true for x values greater than or equal to 3.
#13
Solve the compound inequality: -3 < 2x + 1 ≤ 5
-2 < x ≤ 1
ExplanationThe values of x between -2 and 1, inclusive, satisfy the compound inequality.
#14
If 3x - 2 < 7 and 2x + 4 ≥ 10, what is the solution to the system of inequalities?
x ≥ 2
ExplanationValues of x greater than or equal to 2 satisfy both inequalities.
#15
Solve the inequality: 2(5x + 3) ≥ 4x - 6
x ≥ -3
ExplanationValues of x greater than or equal to -3 satisfy the inequality.
#16
What is the solution to the inequality: 4(2x - 3) > 5x + 2?
x > 14
ExplanationValues of x greater than 14 make the inequality true.
#17
Solve the absolute value inequality: |3x + 1| < 7
-2 ≤ x ≤ 2
ExplanationThe values of x between -2 and 2, inclusive, satisfy the inequality.
#18
Solve the compound inequality: -2 < 3x + 1 ≤ 7
-3 < x ≤ 2
ExplanationThe values of x between -3 and 2, inclusive, satisfy the compound inequality.
#19
If |2x - 1| < 4, what is the solution to the absolute value inequality?
-2 < x < 3
ExplanationThe values of x between -2 and 3, exclusive, satisfy the inequality.
#20
What is the solution to the inequality: 5(3x - 2) ≤ 2(2x + 4)?
x ≥ 4
ExplanationValues of x greater than or equal to 4 satisfy the inequality.
#21
Solve the absolute value inequality: |4x + 3| < 9
-3 ≤ x ≤ 1
ExplanationThe values of x between -3 and 1, inclusive, satisfy the inequality.
#22
What is the solution to the inequality: 3(4x - 2) < 2x + 5?
x > 1
ExplanationValues of x greater than 1 make the inequality true.
#23
Solve the absolute value inequality: |5x + 3| ≤ 12
-3 ≤ x ≤ 3
ExplanationThe values of x between -3 and 3, inclusive, satisfy the inequality.
#24
Solve the compound inequality: -4 < 2x + 1 ≤ 8
-4 ≤ x ≤ 3
ExplanationThe values of x between -4 and 3, inclusive, satisfy the compound inequality.
#25
If |3x - 2| < 5, what is the solution to the absolute value inequality?
-1 < x < 2
ExplanationThe values of x between -1 and 2, exclusive, satisfy the inequality.