Two-Step Inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable.

Front

How do you solve the inequality 3x + 2 > 14?

Back

Subtract 2 from both sides to get 3x > 12, then divide by 3 to find x > 4.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of the inequality by a negative number.

Front

Solve for x: 5x - 7 ≥ 8

Back

Add 7 to both sides to get 5x ≥ 15, then divide by 5 to find x ≥ 3.

Front

What is the solution to the inequality 6t + 4 ≤ -2?

Back

Subtract 4 from both sides to get 6t ≤ -6, then divide by 6 to find t ≤ -1.

Front

When do you flip the sign in an inequality?

Back

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

Front

Solve for k: 7k - 2 ≥ -9

Back

Add 2 to both sides to get 7k ≥ -7, then divide by 7 to find k ≥ -1.

Front

What is the solution to -3x ≥ 12?

Back

Divide by -3 and flip the sign to get x ≤ -4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.