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. It often involves addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality -6 - 3n < -36?

Back

n > 10

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 for k: 2k - 9 ≤ -19.

Back

k ≤ -5

Front

What does the inequality -n + 8 < 26 represent?

Back

It represents the values of n that are greater than -18.

Front

What is the first step in solving the inequality 7n - 1 > 76?

Back

Add 1 to both sides to get 7n > 77.

Front

What is the solution to the inequality -3x ≥ 12?

Back

x ≤ -4.

Front

How do you graph the solution of an inequality?

Back

You use a number line and shade the region that represents the solution set, using an open circle for < or > and a closed circle for ≤ or ≥.

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values that satisfy the inequality.

Front

What is the solution to the inequality 5n + 2 < 17?

Back

n < 3.