Solving Two-Step Inequalities

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 inequality sign when you multiply or divide both sides by a negative number.

Front

Solve for x: -3x ≥ 12

Back

x ≤ -4

Front

Solve for x: -4x + 1 > 21

Back

x < -5

Front

Solve for t: 6t + 4 ≤ -2

Back

t ≤ -1

Front

Solve for a: -9a - 1 < 26

Back

a > -3

Front

Solve for k: 7k – 2 ≥ -9

Back

k ≥ -1

Front

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

Back

It means the value on the left is larger than the value on the right.

Front

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

Back

It means the value on the left is smaller than the value on the right.

Front

How do you check the solution of an inequality?

Back

Substitute the solution back into the original inequality to see if it holds true.