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.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

Solve the inequality: -3x ≥ 12

Back

x ≤ -4

Front

Solve the inequality: -6 - 3n < -36

Back

n > 10

Front

Solve the inequality: -2x + 9 ≤ -11

Back

x ≥ 10

Front

Solve the inequality: 22 < 6c + 4

Back

c > 3

Front

Solve for u: u/7 – 1 ≤ 1

Back

u ≤ 14

Front

What does it mean if an inequality has no solution?

Back

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

Front

What is the solution set of an inequality?

Back

The solution set is the set of all values that make the inequality true.

Front

How do you graph a two-step inequality on a number line?

Back

You plot the boundary point and use an open circle for < or > and a closed circle for ≤ or ≥.