Solving multistep inequalities

Front

What is a multistep inequality?

Back

A multistep inequality is an inequality that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, or division.

Front

Back

Add 12 to both sides to isolate the term with the variable.

Front

What do you do when you multiply or divide both sides of an inequality by a negative number?

Back

You must reverse the inequality sign.

Front

Back

First, add 6 to both sides, then divide by 9.

Front

Back

Subtract 10 from both sides, then multiply by -6 and reverse the inequality sign.

Front

Back

First, add 8 to both sides, then divide by -6 and reverse the inequality sign.

Front

Back

Subtract 9 from both sides, then multiply both sides by -\frac{5}{4} and reverse the inequality sign.

Front

What is the correct order of operations when solving inequalities?

Back

Follow the same order of operations as with equations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What happens to the inequality sign when you add or subtract the same number from both sides?

Back

The inequality sign remains the same.

Front

Back