Two Step Inequalities

Front

What is a two-step inequality?

Back

An inequality that requires two operations to isolate the variable.

Front

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

Back

Add 4 to both sides: -3x < 9, then divide by -3 (reverse the inequality): x > -3.

Front

What does the solution x > -3 represent on a number line?

Back

All numbers greater than -3, represented by an open circle at -3 and shading to the right.

Front

What is the first step to solve the inequality 77 ≤ 5 + 8n?

Back

Subtract 5 from both sides: 72 ≤ 8n.

Front

How do you isolate n in the inequality 72 ≤ 8n?

Back

Divide both sides by 8: 9 ≤ n or n ≥ 9.

Front

What does the inequality 16 - 4a > 8 mean?

Back

It means that 16 minus four times a is greater than 8.

Front

How do you solve the inequality 16 - 4a > 8?

Back

Subtract 16 from both sides: -4a > -8, then divide by -4 (reverse the inequality): a < 2.

Front

What is the solution to the inequality 22 < 6c + 4?

Back

Subtract 4 from both sides: 18 < 6c, then divide by 6: 3 < c or c > 3.

Front

What does the solution c > 3 represent on a number line?

Back

All numbers greater than 3, represented by an open circle at 3 and shading to the right.

Front

How do you solve the inequality 11x + 14 < -8?

Back

Subtract 14 from both sides: 11x < -22, then divide by 11: x < -2.