Solving and graphing two-step inequalities

Front

What is a two-step inequality?

Back

An inequality that requires two operations to solve for the variable.

Front

How do you represent an inequality on a number line?

Back

By using an open or closed circle to indicate whether the endpoint is included.

Front

What does a closed circle on a graph indicate?

Back

The value at that point is included in the solution (≤ or ≥).

Front

What does an open circle on a graph indicate?

Back

The value at that point is not included in the solution (< or >).

Front

Solve for f: 23 < f - 12

Back

f > 35.

Front

Solve for x: -4x + 14 ≤ 54

Back

x ≥ -10.

Front

Solve for y: 11 > -3y + 2

Back

-3 < y.

Front

When do we switch the inequality symbol?

Back

When multiplying or dividing by a NEGATIVE.

Front

What is the solution set of the inequality 5x + 3 < 18?

Back

x < 3.

Front

What is the first step to solve the inequality 2x - 5 ≥ 9?

Back

Add 5 to both sides: 2x ≥ 14.