Solving & Graphing Linear Inequalities (One - Step)

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 (>, <, ≥, ≤) instead of an equal sign.

Front

What does it mean to 'flip the sign' when solving inequalities?

Back

Flipping the sign means changing the direction of the inequality symbol when multiplying or dividing both sides of the inequality by a negative number.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that make the inequality true.

Front

How do you graph a linear inequality on a number line?

Back

To graph a linear inequality, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the region that represents the solution set.

Front

What does the inequality x ≤ 12 represent?

Back

It represents all values of x that are less than or equal to 12.

Front

Solve the inequality: 2x < 10

Back

x < 5.

Front

What is the significance of a closed dot on a number line?

Back

A closed dot indicates that the number is included in the solution set (≤ or ≥).

Front

What is the significance of an open dot on a number line?

Back

An open dot indicates that the number is not included in the solution set (< or >).

Front

Solve the inequality: -3x ≥ 9

Back

x ≤ -3.

Front

What does the inequality 5x > 15 mean?

Back

It means that x must be greater than 3.