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Solving Inequalities

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

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Solving Inequalities

Equations and Inequalities • Middle School Math

Set 1 — Foundation

Solve the inequality: $x + 3 > 7$ . What is the solution?

$x > 10$

$x > 4$

$x < 4$

$x < 10$

Solve the inequality: $2x < 12$ . What is the solution?

$x < 6$

$x < 4$

$x > 6$

$x > 4$

Solve the inequality: $x - 5 \leq 2$ . What is the solution?

$x \leq 7$

$x \geq 7$

$x \leq 3$

$x \geq 3$

Solve the inequality: $3x + 1 > 10$ . What is the solution?

$x > 4$

$x < 3$

$x > 3$

$x < 4$

Solve the inequality: $5 - 2x \geq 1$ . What is the solution?

$x \geq 2$

$x \leq -2$

$x \geq -2$

$x \leq 2$

Solve the inequality: $4x - 8 < 0$ . What is the solution?

$x < 2$

$x > 2$

$x < -2$

$x > -2$

Solve the inequality: $x + 4 \leq 3$ . What is the solution?

$x \leq -1$

$x \geq -1$

$x \leq 1$

$x \geq 1$

Solve the inequality: $6 - x > 2$ . What is the solution?

$x < 4$

$x > 4$

$x < 8$

$x > 8$

Solve the inequality: $2x + 3 < 11$ . What is the solution?

$x > 4$

$x < 4$

$x < 2$

$x > 2$

10.

Solve the inequality: $x - 6 \geq 0$ . What is the solution?

$x \geq 6$

$x \leq 6$

$x \geq -6$

$x \leq -6$

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