Solving Two-step Inequalities

Front

What is a two-step inequality?

Back

An inequality that requires two operations to isolate the variable.

Front

What is the first step in solving the inequality -3w - 2 < -17?

Back

Add 2 to both sides.

Front

What happens when you divide both sides of an inequality by a negative number?

Back

You must reverse the inequality sign.

Front

Solve the inequality: 6 + x/3 ≤ 7. What is x?

Back

x ≤ 3.

Front

What is the solution to the inequality -5x - 7 > -42?

Back

x < 7.

Front

What does the inequality p ≥ -5 mean?

Back

p can be any number greater than or equal to -5.

Front

How do you isolate the variable in the inequality 8x + 72 < -152?

Back

Subtract 72 from both sides.

Front

What is the solution to the inequality -6 - 2x > 14?

Back

x < -10.

Front

What is the significance of the inequality sign in a two-step inequality?

Back

It indicates the relationship between the two sides of the inequality.

Front

What is the second step in solving the inequality -3w - 2 < -17?

Back

Divide both sides by -3.