Solving Two-Step Inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable on one side of the inequality.

Front

Solve for x: -4x + 1 > 21

Back

x < -5

Front

Solve for t: 6t + 4 ≤ -2

Back

t ≤ -1

Front

Solve for k: 7k – 2 ≥ -9

Back

k ≥ -1

Front

Solve for x: 2x + 6 ≥ -8

Back

x ≥ -7

Front

Solve for k: 2k - 9 ≤ -19

Back

k ≤ -5

Front

What does it mean when an inequality is 'greater than'?

Back

It means that the value on the left side of the inequality is larger than the value on the right side.

Front

What does it mean when an inequality is 'less than'?

Back

It means that the value on the left side of the inequality is smaller than the value on the right side.

Front

How do you solve an inequality with a negative coefficient?

Back

Multiply or divide both sides by a negative number, and remember to flip the inequality sign.

Front

What is the first step in solving the inequality 3x - 5 < 10?

Back

Add 5 to both sides to isolate the term with x.