Two Step Inequalities 9-9-21 KHS

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 16 - 4a > 8?

Back

Subtract 16 from both sides: -4a > -8. Then divide by -4 (remember to flip the inequality): a < 2.

Front

What does the solution a < 2 represent on a number line?

Back

It represents all numbers to the left of 2, not including 2 itself.

Front

How do you graph the solution of an inequality?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥. Shade the region that satisfies the inequality.

Front

What is the first step to solve the inequality 7n - 1 > 76?

Back

Add 1 to both sides: 7n > 77.

Front

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

Back

n > 11.

Front

How do you solve the inequality -3x - 4 < 5?

Back

Add 4 to both sides: -3x < 9. Then divide by -3 (flip the inequality): x > -3.

Front

What does the solution x > -3 mean?

Back

It means all numbers greater than -3 are solutions.

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

What is the solution for the inequality 8 + 4x > 24?

Back

Subtract 8 from both sides: 4x > 16. Then divide by 4: x > 4.