Multi-Step Inequalities

Front

What is a multi-step inequality?

Back

A multi-step inequality is an inequality that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, or division.

Front

How do you graph the solution set of an inequality?

Back

To graph the solution set of an inequality, you first solve the inequality for the variable, then plot the solution on a number line, using an open dot for < or > and a closed dot for ≤ or ≥.

Front

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

Back

The symbol '≤' means 'less than or equal to', indicating that the value can be less than or exactly equal to another value.

Front

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

Back

The symbol '≥' means 'greater than or equal to', indicating that the value can be greater than or exactly equal to another value.

Front

Solve the inequality: -4a ≤ -28

Back

a ≥ 7

Front

Solve the inequality: -8(x - 3) - 4x < 108

Back

x > -7

Front

When do you use a closed dot on a graph of an inequality?

Back

You use a closed dot when the inequality includes ≤ or ≥, indicating that the endpoint is included in the solution.

Front

When do you use an open dot on a graph of an inequality?

Back

You use an open dot when the inequality includes < or >, indicating that the endpoint is not included in the solution.

Front

Solve the inequality: 3x − (2 + 6x) ≤ -32

Back

x ≥ 10

Front

Evaluate the inequality: x + 9 > 21 when x = 15. Is it true?

Back

Not True.