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 5x - 7 ≥ 8?

Back

Add 7 to both sides: 5x ≥ 15, then divide by 5: x ≥ 3.

Front

What does it mean to flip the inequality sign?

Back

To reverse the direction of the inequality when multiplying or dividing by a negative number.

Front

Solve the inequality: 6t + 4 ≤ -2.

Back

Subtract 4 from both sides: 6t ≤ -6, then divide by 6: t ≤ -1.

Front

What is the solution to the inequality 7n - 1 > 76?

Back

Add 1 to both sides: 7n > 77, then divide by 7: n > 11.

Front

How do you graph the inequality x > 4?

Back

Draw a number line, place an open circle on 4, and shade to the right.

Front

What is the solution to the inequality 3x + 2 > 14?

Back

Subtract 2 from both sides: 3x > 12, then divide by 3: x > 4.

Front

When do you flip the sign in an inequality?

Back

When you multiply or divide both sides by a negative number.

Front

Solve the inequality: -3x ≥ 12.

Back

Divide by -3 (flip the sign): x ≤ -4.

Front

What is the solution to the inequality 2x - 5 < 9?

Back

Add 5 to both sides: 2x < 14, then divide by 2: x < 7.