Solving and Graphing 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 6t + 4 ≤ -2?

Back

Subtract 4 from both sides: 6t ≤ -6, then divide by 6: t ≤ -1.

Front

What does the solution t ≤ -1 mean on a number line?

Back

All values of t that are less than or equal to -1.

Front

What symbol indicates an open dot when graphing inequalities?

Back

< or >.

Front

What symbol indicates a closed dot when graphing inequalities?

Back

≤ or ≥.

Front

How do you graph the inequality x < -4?

Back

Draw a number line, place an open dot at -4, and shade to the left.

Front

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

Back

You must flip the inequality sign.

Front

Solve the inequality -3x ≥ 12. What is x?

Back

x ≤ -4.

Front

What does the inequality y < -4 represent on a number line?

Back

All values of y that are less than -4.

Front

How do you solve the inequality -4 + y < -8?

Back

Add 4 to both sides: y < -4.