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 solve the inequality 77 ≤ 5 + 8n?

Back

Subtract 5 from both sides: 72 ≤ 8n, then divide by 8: 9 ≤ n.

Front

What does it mean to graph an inequality?

Back

It means to represent the solutions of the inequality on a number line.

Front

What is the solution to the inequality -3w - 2 < -17?

Back

w > 5.

Front

When solving -3x − 4 < 5, what is the first step?

Back

Add 4 to both sides: -3x < 9.

Front

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

Back

The inequality sign flips.

Front

What is the solution to the inequality 6 > x?

Back

x < 6.

Front

How do you check if your solution to an inequality is correct?

Back

Substitute the solution back into the original inequality.

Front

What does the inequality -3x ≥ 12 imply about x?

Back

x ≤ -4.

Front

What is the first step in solving the inequality 5 + 8n < 77?

Back

Subtract 5 from both sides: 8n < 72.