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Solving Inequalities

This worksheet covers Solving Inequalities, which is part of the Linear Inequalities module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.

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Solving Inequalities

Linear Inequalities • SAT Math

Set 5 — Mastery

$So$ lve the inequality: $2x - 5 < 3x + 2$ . What is the solution set?

$x > -7$

$x < -7$

$x \leq -7$

$x \geq -7$

$So$ lve the inequality: $-3(x + 4) \geq 12$ . What is the solution set?

$x \leq -8$

$x > -8$

$x < -8$

$x \geq -8$

Which of the following represents the solution set for $4x + 1 < 2x + 9$ ?

$x < 4$

$x \leq 4$

$x > 4$

$x \geq 4$

If $5 - 2x \leq 3x + 10$ , what is the maximum value of $x$ ?

$x \leq -1$

$x < -1$

$x \geq -1$

$x > -1$

$So$ lve the inequality: $3(x - 1) + 4 \geq 2(x + 2)$ . What is the solution set?

$x \geq 10$

$x \leq 10$

$x < 10$

$x > 10$

If $2x + 3 > 7 - x$ , what is the smallest integer solution for $x$ ?

$x \\geq 2$

$x > 2$

$x < 2$

$x \leq 2$

What is the solution to the inequality $6 - x > 2x + 3$ ?

$x < 1$

$x > 1$

$x \leq 1$

$x \geq 1$

$Fo$ r the inequality $-4x + 5 < 1$ , find the value of $x$ .

$x > 1$

$x < 1$

$x \\leq 1$

$x \geq 1$

$$So $lve the inequality$ 5x - 2 \geq 3(x + 4) $. What is the solution set?$

$x \leq 18$

$x < 18$

$x > 18$

$x \geq 18$

10.

What is the solution to the inequality $7 - 2(3x - 5) < 6$ ?

$x < 2$

$x > 2$

$x \\leq 2$

$x \geq 2$

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Other Sets

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Other Sets

Show answer choices

Set 1Foundation Set 2Foundation Set 3Foundation Set 4Mastery Set 5Mastery Custom Worksheet