Linear Inequalities Review

Front

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

Back

The sign flips.

Front

What does a closed circle on a number line represent in inequalities?

Back

It represents that the number is included in the solution (≤ or ≥).

Front

What does an open circle on a number line represent in inequalities?

Back

It represents that the number is not included in the solution (< or >).

Front

How do you determine if the shading is above or below the line in a linear inequality?

Back

If the inequality is 'greater than' (>) or 'greater than or equal to' (≥), shade above. If it is 'less than' (<) or 'less than or equal to' (≤), shade below.

Front

Translate the phrase: 'A number must be less than 10.'

Back

x < 10

Front

Translate the phrase: 'A number must be at least 5.'

Back

x ≥ 5

Front

What is the solution set for the inequality -3x < 9?

Back

x > -3.

Front

How do you graph the inequality y < 2x + 1?

Back

Graph the line y = 2x + 1 with a dashed line and shade below.

Front

What is the solution to the inequality 4x - 5 ≥ 3?

Back

x ≥ 2.

Front

What does the inequality symbol '≤' mean?

Back

It means 'less than or equal to'.