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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 2 — Foundation

$So$ lve the inequality: $2x - 5 < 9$ . What is the solution set?

$x < 7$

$x > 7$

$x < 2$

$x > 2$

What is the solution to the inequality $x - 3 < 5$ ?

$x < 8$

$x > 8$

$x < 2$

$x > 2$

$So$ lve the inequality $-2x + 6 \leq 0$ . What is the solution set?

$x \geq 3$

$x \leq 3$

$x \geq 6$

$x \leq 6$

If $5x - 2 > 3$ , what is the solution for $x$ ?

$x > 1$

$x < 1$

$x > 2$

$x < 2$

$So$ lve for $x$ : $4 - x < 10$ .

$x > -6$

$x < -6$

$x > 6$

$x < 6$

What is the solution set for the inequality $x + 5 \geq 2x - 3$ ?

$x \leq 8$

$x \geq 8$

$x \leq -8$

$x \geq -8$

$So$ lve $2x + 1 < 7$ . What is the solution for $x$ ?

$x < 3$

$x > 3$

$x < 2$

$x > 2$

Which of the following is the solution to the inequality $-3x + 12 < 3$ ?

$x > 3$

$x < 3$

$x > 4$

$x < 4$

What is the solution to the inequality $x/4 + 1 \leq 2$ ?

$x \leq 4$

$x \geq 4$

$x \leq 8$

$x \geq 8$

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