2-step Inequalities

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable, similar to solving a 2-step equation.

Front

Solve for x: 3x - 2 ≥ 34

Back

x ≥ 12

Front

Solve for x: -4x + 14 ≤ 54

Back

x ≥ -10

Front

Solve for k: 2k - 9 ≤ -19

Back

k ≤ -5

Front

What happens to the inequality symbol when you multiply or divide by a negative number?

Back

The inequality symbol flips direction.

Front

Solve for a: -9a - 1 < 26

Back

a > -3

Front

What is the first step in solving the inequality 3x - 2 ≥ 34?

Back

Add 2 to both sides to get 3x ≥ 36.

Front

What is the second step in solving the inequality 3x ≥ 36?

Back

Divide both sides by 3 to get x ≥ 12.

Front

What does it mean when an inequality has no solution?

Back

It means there are no values for the variable that can satisfy the inequality.

Front

What is the solution set for the inequality x + 5 < 10?

Back

x < 5