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

Solve for t: 6t + 4 ≤ -2

Back

t ≤ -1

Front

Solve for a: -9a - 1 < 26

Back

a > -3

Front

Solve the inequality: -2x + 9 ≤ -11

Back

x ≥ 10

Front

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

Back

n > 10

Front

Solve the inequality: -8k - 4 ≤ -60

Back

k ≥ 7

Front

What is the first step in solving the inequality 6t + 4 ≤ -2?

Back

Subtract 4 from both sides to isolate the term with the variable.

Front

What does it mean when an inequality has a 'greater than' symbol?

Back

It means that the value on the left side is larger than the value on the right side.

Front

What does it mean when an inequality has a 'less than or equal to' symbol?

Back

It means that the value on the left side is either less than or equal to the value on the right side.

Front

How do you check the solution of an inequality?

Back

Substitute the solution back into the original inequality to see if it makes the inequality true.