2 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, typically involving addition or subtraction followed by multiplication or division.

Front

Solve: -2x ≤ 14

Back

x ≥ -7

Front

Solve: -3 + 6b < 21

Back

b < 4

Front

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

Back

You flip the inequality symbol.

Front

Solve: -5m < 10

Back

m > -2

Front

Solve: 3x + 4 > 13

Back

x > 3

Front

What is the first step to solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides to get 2x < 8.

Front

What is the solution to the inequality 4x - 5 ≥ 3?

Back

x ≥ 2.

Front

If you have the inequality 5 - 2x < 1, what is the first step to solve it?

Back

Subtract 5 from both sides to get -2x < -4.

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.