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 2x + 6 > 12?

Back

Subtract 6 from both sides to get 2x > 6, then divide by 2 to find x > 3.

Front

What does the symbol '≤' mean?

Back

It means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

It means 'greater than or equal to'.

Front

How do you isolate the variable in the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides to get -4x ≤ 40, then divide by -4 (remember to flip the inequality) to find x ≥ -10.

Front

What is the first step in solving the inequality 6(n + 2) < -72?

Back

Divide both sides by 6 to simplify the inequality.

Front

What is the solution to the inequality 6 + 2h > 30?

Back

Subtract 6 from both sides to get 2h > 24, then divide by 2 to find h > 12.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips direction.

Front

How do you express the solution to the inequality x + 11 ≥ 23?

Back

Subtract 11 from both sides to find x ≥ 12.

Front

What is the solution to the inequality 6(n + 2) < -72?

Back

After dividing by 6, you get n + 2 < -12, then subtract 2 to find n < -14.