Inequalities
Test your understanding of Inequalities, a fundamental concept in Algebra.
Questions
Solve the inequality: (x + 5 > 10)
- \(x > 5\)
- \(x < 5\)
- \(x > 15\)
- \(x < 15\)
Which inequality represents the statement "A number (x) is less than or equal to 12"?
- \(x < 12\)
- \(x > 12\)
- \(x \leq 12\)
- \(x \geq 12\)
Solve the inequality: (2x - 3 < 9)
- \(x < 6\)
- \(x > 6\)
- \(x < 3\)
- \(x > 3\)
Which of the following inequalities is equivalent to (3x + 5 \geq 17)?
- \(3x \geq 12\)
- \(3x \leq 12\)
- \(x \geq 4\)
- \(x \leq 4\)
Solve the inequality: (-2(x + 4) > 10)
- \(x > -9\)
- \(x < -9\)
- \(x > -3\)
- \(x < -3\)
Which inequality represents the statement "The sum of (x) and 7 is greater than or equal to 15"?
- \(x + 7 > 15\)
- \(x + 7 < 15\)
- \(x - 7 \geq 15\)
- \(x - 7 \leq 15\)
Solve the inequality: (\frac{x}{2} + 3 \leq 7)
- \(x \leq 8\)
- \(x \geq 8\)
- \(x \leq 4\)
- \(x \geq 4\)
Which of the following inequalities is equivalent to (2 - 3x < 11)?
- \(3x > -9\)
- \(3x < -9\)
- \(x > 4\)
- \(x < 4\)
Solve the inequality: (4(2x - 1) \geq 20)
- \(x \geq 3\)
- \(x \leq 3\)
- \(x \geq 5\)
- \(x \leq 5\)
Which inequality represents the statement "The difference between (x) and 10 is at most 5"?
- \(x - 10 \leq 5\)
- \(x - 10 \geq 5\)
- \(10 - x \leq 5\)
- \(10 - x \geq 5\)
Solve the inequality: (\frac{3x + 2}{4} < 5)
- \(x < 6\)
- \(x > 6\)
- \(x < 8\)
- \(x > 8\)
Which of the following inequalities is equivalent to (5 - 2x \leq 1)?
- \(2x \geq 4\)
- \(2x \leq 4\)
- \(x \geq 2\)
- \(x \leq 2\)
Solve the inequality: (2(x - 3) + 5 \geq 13)
- \(x \geq 5\)
- \(x \leq 5\)
- \(x \geq 7\)
- \(x \leq 7\)
Which inequality represents the statement "Three times a number (x) is no more than 12"?
- \(3x \leq 12\)
- \(3x \geq 12\)
- \(x \leq 4\)
- \(x \geq 4\)
Solve the inequality: (\frac{2x + 1}{3} - 4 \leq 1)
- \(x \leq 9\)
- \(x \geq 9\)
- \(x \leq 11\)
- \(x \geq 11\)