Two-Step Inequality

Front

What is a two-step inequality?

Back

An inequality that requires two operations to isolate the variable.

Front

When do you flip the inequality sign?

Back

You flip the sign when you multiply or divide both sides by a negative number.

Front

Solve the inequality: -3x ≥ 12

Back

x ≤ -4.

Front

Solve the inequality: 2 - 3x ≤ 20

Back

x ≥ -6.

Front

Solve the inequality: -9a - 1 < 26

Back

a > -3.

Front

What does the solution x ≥ -6 represent on a number line?

Back

All numbers greater than or equal to -6.

Front

What is the first step in solving the inequality 7n - 1 > 76?

Back

Add 1 to both sides to get 7n > 77.

Front

What is the solution to the inequality 7n - 1 > 76?

Back

n > 11.

Front

How do you graph the inequality x < 3?

Back

Draw a number line, place an open circle at 3, and shade to the left.

Front

What does an open circle on a number line indicate?

Back

The number is not included in the solution.