Solving Two-Step Inequalities

Front

What is a two-step inequality?

Back

An inequality that requires two operations to isolate the variable.

Front

What does it mean to 'flip the sign' in an inequality?

Back

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

Front

Solve for x: -3x - 4 < 5

Back

x > -3

Front

What is the first step in solving the inequality -3w - 2 < -17?

Back

Add 2 to both sides.

Front

What is the second step in solving the inequality -3w - 2 < -17?

Back

Divide both sides by -3.

Front

Solve for k: 2k - 9 ≤ -19

Back

k ≤ -5

Front

Solve for x: -4x + 14 ≤ 54

Back

x ≥ -10

Front

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

Back

Flip the inequality sign.

Front

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

Back

x > 5

Front

How do you check the solution of an inequality?

Back

Substitute the solution back into the original inequality.