by elvie.streich
Dive into the world of mathematical inequalities where numbers, variables, and expressions come together to form intriguing relationships. This quiz will test your ability to solve and understand various types of inequalities, from linear to quadratic and beyond. Sharpen your skills and see how well you can navigate through these mathematical challenges. Good luck, and may your problem-solving abilities shine!
We recommend that you do not leave the page that you are taking this quiz in. Stay honest 🙂
Inequalities Quiz Questions Overview
1. Which of the following is a solution to the inequality 2x – 3 > 5?
x > 4
x < 4
x > 1
x < 1
2. What is the solution set for the inequality x^2 – 4 < 0?
-2 < x < 2
x < -2 or x > 2
x > 2
x < -2
3. Which of the following represents the inequality 3x + 4 ≤ 10?
x ≤ 2
x ≥ 2
x ≤ -2
x ≥ -2
4. Which inequality represents the graph of a line that passes through the origin and has a slope of 1?
y > x
y < x
y ≥ x
y ≤ x
5. Which of the following is equivalent to the inequality -2x + 3 < 7?
x > -2
x < -2
x > 2
x < 2
6. If 4x – 1 ≥ 3x + 2, what is the solution for x?
x ≥ 3
x ≤ 3
x ≥ -3
x ≤ -3
7. Which of the following inequalities is true for all real numbers x?
x^2 ≥ 0
x^2 > 0
x^2 ≤ 0
x^2 < 0
8. Which inequality represents the solution to the compound inequality 1 < 2x - 3 ≤ 5?
2 < x ≤ 4
1 < x ≤ 4
2 < x < 4
1 < x < 4
9. Which of the following inequalities is equivalent to the statement ‘The product of x and y is greater than 10’?
xy > 10
xy < 10
x + y > 10
x + y < 10
10. Which of the following inequalities represents the solution to the absolute value inequality |x – 3| < 5?
-2 < x < 8
x < -2 or x > 8
2 < x < 8
x < 2 or x > 8
11. Which of the following represents the inequality x^2 + 2x – 8 > 0?
x < -4 or x > 2
-4 < x < 2
x > -4 or x < 2
x < -2 or x > 4
12. Which inequality represents the statement ‘The sum of a number and 7 is at least 15’?
x + 7 ≥ 15
x + 7 ≤ 15
x + 7 > 15
x + 7 < 15
13. Which of the following inequalities is true for x = -3?
x^2 – 2x > 5
x^2 + 2x < 5
x^2 – 2x < 5
x^2 + 2x > 5
14. Which of the following represents the solution to the inequality 5 – 3x ≤ 2?
x ≥ 1
x ≤ 1
x ≥ -1
x ≤ -1
15. Which of the following inequalities is equivalent to 2(x – 1) > 3x + 4?
x < -6
x > -6
x < 6
x > 6
16. Which of the following represents the solution to the compound inequality -3 ≤ 2x + 1 < 7?
-2 ≤ x < 3
-2 < x ≤ 3
-2 ≤ x ≤ 3
-2 < x < 3
17. Which of the following inequalities represents the solution to the absolute value inequality |2x + 1| > 3?
x < -2 or x > 1
x < -1 or x > 2
x < -2 or x > 2
x < -1 or x > 1
18. Which of the following inequalities represents the solution to the inequality 3(x + 2) < 2x + 9?
x > 3
x < 3
x > -3
x < -3
19. Which of the following represents the inequality x^2 – 5x + 6 ≤ 0?
2 ≤ x ≤ 3
x ≤ 2 or x ≥ 3
x ≤ 2 and x ≥ 3
2 < x < 3
20. Which inequality represents the statement ‘The difference between a number and 4 is less than or equal to 6’?
|x – 4| ≤ 6
|x + 4| ≤ 6
|x – 4| ≥ 6
|x + 4| ≥ 6
21. Which of the following represents the solution to the inequality -4x + 7 > 3?
x < 1
x > 1
x < -1
x > -1
We recommend that you do not leave the page that you are taking this quiz in. Stay honest 🙂
