2-Step Inequalities

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality -4x + 5 ≤ 29?

Back

Subtract 5 from both sides: -4x ≤ 24. Then divide by -4 (remember to flip the inequality): x ≥ -6.

Front

What does it mean when an inequality is written as x > 3?

Back

It means that x can take any value greater than 3, but not equal to 3.

Front

How do you solve the inequality 3x + 4 > 13?

Back

Subtract 4 from both sides: 3x > 9. Then divide by 3: x > 3.

Front

What is the solution to the inequality 4x - 2 ≤ -22?

Back

Add 2 to both sides: 4x ≤ -20. Then divide by 4: x ≤ -5.

Front

How do you interpret the solution x ≥ -10?

Back

It means that x can take any value greater than or equal to -10.

Front

What is the first step in solving the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips direction.

Front

How do you solve the inequality 6t + 4 ≤ -2?

Back

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

Front

What does the solution x ≤ 6 indicate?

Back

It indicates that x can take any value less than or equal to 6.