Linear Inequalities in One Variable

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤).

Front

How do you solve the inequality -5x < 15?

Back

Divide both sides by -5 and flip the inequality: x > -3.

Front

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

Back

The inequality sign must be flipped.

Front

Identify the type of expression: 3x > 7.

Back

Inequality.

Front

What does the solution x < 2 represent on a number line?

Back

All values to the left of 2, not including 2.

Front

Does the sign need to flip when solving -4y ≥ 28?

Back

Yes, when dividing by -4, the inequality becomes y ≤ -7.

Front

What is the solution to the inequality x > 5?

Back

All values greater than 5.

Front

How do you graph the inequality x ≤ 3 on a number line?

Back

Draw a solid dot on 3 and shade to the left.

Front

What is the solution set for the inequality 2x + 3 < 11?

Back

x < 4.

Front

What does the inequality x ≥ -1 mean?

Back

x can be -1 or any number greater than -1.