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 -x / 5 > -20?

Back

Multiply both sides by -5 (remember to flip the inequality sign): x < 100.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign means changing '>' to '<' or '≥' to '≤' when multiplying or dividing by a negative number.

Front

What is the solution to the inequality 16 - 4a > 8?

Back

a < 2.

Front

When graphing the inequality x < 5, what type of dot is used?

Back

An open dot is used.

Front

What does an open dot represent in graphing inequalities?

Back

An open dot indicates that the number is not included in the solution set.

Front

What is the solution to the inequality 3x + 7 ≥ 12?

Back

x ≥ rac{5}{3}.

Front

When do you not flip the sign in an inequality?

Back

You do not flip the sign when multiplying or dividing by a positive number.

Front

What is the solution to the inequality -3x - 2 ≥ 12?

Back

x ≤ - rac{14}{3}.

Front

What does the symbol '>' mean in an inequality?

Back

It means 'greater than'.