Solving 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 -9a - 1 < 26?

Back

Add 1 to both sides: -9a < 27, then divide by -9 (flip the sign): a > -3.

Front

What does the symbol '≤' mean in inequalities?

Back

It means 'less than or equal to'.

Front

What does the symbol '≥' mean in inequalities?

Back

It means 'greater than or equal to'.

Front

When do you flip the inequality sign?

Back

You flip the sign when you multiply or divide both sides by a negative number.

Front

Solve for k: 2k - 9 ≤ -19.

Back

k ≤ -5.

Front

Solve for x: 2x + 6 ≥ -8.

Back

x ≥ -7.

Front

What is the solution to the inequality 7k – 2 ≥ -9?

Back

k ≥ -1.

Front

What is the first step in solving the inequality -3x ≥ 12?

Back

Divide both sides by -3 and flip the sign: x ≤ -4.

Front

What does it mean if an inequality has no solution?

Back

It means there is no value for the variable that makes the inequality true.