Two-Step Inequalities

Front

What is a two-step inequality?

Back

An inequality that requires two operations to isolate the variable.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

x ≥ -10

Front

What does it mean to flip the inequality sign?

Back

To reverse the direction of the inequality when multiplying or dividing by a negative number.

Front

Solve the inequality: 4x - 4 > 8.

Back

x > 3

Front

What is the first step in solving the inequality 3x + 2 > 14?

Back

Subtract 2 from both sides.

Front

Solve the inequality: 3x + 2 > 14.

Back

x > 4

Front

What happens to the inequality sign when dividing by a negative number?

Back

The inequality sign flips.

Front

Solve the inequality: 7n - 1 > 76.

Back

n > 11.

Front

What is the solution to the inequality -3x ≥ 12?

Back

x ≤ -4.

Front

What is the graphical representation of an inequality?

Back

A number line with an open or closed circle and a shaded region.