Solve the inequality: (2/5)x > 8. Graph your solution on a number line.

x > 20. The graph should show an open circle at 20 and an arrow pointing to the right.

Solve the inequality: -4x ≥ -20. Graph your solution on a number line.

x ≤ 5. The graph should show a closed circle at 5 and an arrow pointing to the left.

9th Grade•50 minutes

I can solve inequalities using multiplication and division, and graph the solutions on a number line.

When solving inequalities, if you multiply or divide both sides by a negative number, you must flip the inequality sign.

To solve an inequality with a fraction multiplied by a variable, multiply both sides by the reciprocal of the fraction.

The phrase 'at most' translates to ≤, while 'at least' translates to ≥ when writing inequalities from word problems.

This lesson includes 11 practice questions to reinforce learning.

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1. What is the key rule to remember when solving inequalities involving multiplication or division by a negative number?

2. Solve the inequality: -3x < 12. Graph your solution on a number line.

3. Solve the inequality: x/(-2) ≥ 5. Graph your solution on a number line.

...and 8 more questions

5 2 Solving Inequalities with Multiplication and Division

Megan Tompkins