Two-Step Inequalities REVIEW

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. It typically involves addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality: 25 < X - 10?

Back

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

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: -3a ≥ 12

Back

Divide both sides by -3 (flip the sign): a ≤ -4.

Front

What does the inequality h ≥ 48 represent?

Back

It means that the height (h) must be at least 48 inches.

Front

How do you solve the inequality: -9a - 1 < 26?

Back

Add 1 to both sides: -9a < 27. Then divide by -9 (flip the sign): a > -3.

Front

What is the solution to the inequality: 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8. Then divide by 2: x < 4.

Front

What does the inequality x + 5 > 10 mean?

Back

It means that x must be greater than 5.

Front

How do you represent the solution to the inequality x - 7 ≤ 2?

Back

Add 7 to both sides: x ≤ 9.

Front

What is the first step in solving the inequality: 4x - 8 > 0?

Back

Add 8 to both sides: 4x > 8.