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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 4 — Mastery

$So$ lve the inequality: $-3x + 7 > 1$ . What is the solution set?

$x < 2$

$x > 2$

$x < -2$

$x > -2$

If $2x - 5 \leq 3x + 1$ , what is the solution set for $x$ ?

$x \leq -6$

$x \\geq -6$

$x < -6$

$x > -6$

What is the solution to the inequality $4 - 2x < 10$ ?

$x < -3$

$x > -3$

$x < 3$

$x > 3$

$So$ lve for $x$ : $5x + 3 > 2x + 15$ .

$x > 4$

$x < 4$

$x = 4$

$x \\geq 4$

If $-2(x + 4) < 8$ , what is the solution for $x$ ?

$x < -6$

$x > -6$

$x < -2$

$x > -2$

$So$ lve the inequality: $3(x - 1) \geq 2(x + 2)$ .

$x \\leq 7$

$x \\geq 7$

$x < 7$

$x > 7$

Which of the following represents the solution to $|x - 3| < 5$ ?

$-2 < x < 8$

$2 < x < 8$

$-5 < x < 5$

$-5 < x < 3$

$So$ lve the compound inequality: $2 < 3x + 1 < 11$ .

$\frac{1}{3} < x < 3$

$1 < x < 3$

$0 < x < 4$

$1 < x < 4$

What is the solution to the inequality $6 - x < 2x + 9$ ?

$x < -1$

$x > -1$

$x < 1$

$x > 1$

10.

$Fo$ r what values of $x$ does the inequality $x^{2} - 4x < 0$ hold true?

$0 < x < 4$

$x < 0$

$x > 4$

$x < 4$

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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