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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 3 — Foundation

$So$ lve the inequality: $3x - 5 > 4$ . What is the solution set?

$x > 3$

$x < 3$

$x > 1$

$x < 1$

Which of the following is a solution to the inequality $2x + 3 < 11$ ?

$x = 3$

$x = 4$

$x = 5$

$x = 6$

$So$ lve the inequality: $-x + 4 \leq 6$ . What is the value of $x$ ?

$x \geq -2$

$x \leq -2$

$x \geq 2$

$x \leq 2$

What is the solution to the inequality $5x - 2 < 3x + 6$ ?

$x < 4$

$x < 2$

$x > 4$

$x > 2$

If $x - 3 > 2$ , what is the smallest integer value of $x$ ?

$So$ lve the inequality: $4 - 2x < 10$ . What is the solution set?

$x > -3$

$x < -3$

$x > 3$

$x < 3$

What is the solution of the inequality $x + 7 \geq 10$ ?

$x \geq 3$

$x \leq 3$

$x \geq 2$

$x \leq 2$

$So$ lve the inequality $-3x + 1 > 4$ . What is the solution set?

$x < -1$

$x > -1$

$x < 1$

$x > 1$

Which of the following is true for the inequality $2x - 1 \geq 3$ ?

$x \geq 2$

$x \leq 2$

$x \geq 1$

$x \leq 1$

10.

Which of the following values satisfies the inequality $x - 5 < 0$ ?

$x = 4$

$x = 5$

$x = 6$

$x = 7$

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