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 7k - 2 ≥ -9?

Back

Add 2 to both sides: 7k ≥ -7. Then divide by 7: k ≥ -1.

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 a: 16 - 4a > 8

Back

Subtract 16 from both sides: -4a > -8. Then divide by -4 and flip the sign: a < 2.

Front

What does the solution k ≤ -5 mean?

Back

It means that k can be any number less than or equal to -5.

Front

Solve for k: 2k - 9 ≤ -19

Back

Add 9 to both sides: 2k ≤ -10. Then divide by 2: k ≤ -5.

Front

What is the solution to the inequality 25 < X - 10?

Back

Add 10 to both sides: 35 < X, or X > 35.

Front

What is the first step in solving -3x ≥ 12?

Back

Divide both sides by -3, which requires flipping the inequality sign: x ≤ -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.

Front

How do you check the solution of an inequality?

Back

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