One Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like >, <, ≥, or ≤.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the first step in solving the inequality -11x > 99?

Back

The first step is to divide both sides by -11, remembering to reverse the inequality sign.

Front

What is the solution to the inequality -11x > 99?

Back

x < -9.

Front

How do you graph the solution x < -9 on a number line?

Back

Draw an open circle on -9 and shade to the left.

Front

What is the difference between solving equations and inequalities?

Back

When solving inequalities, if you multiply or divide by a negative number, you must reverse the inequality sign.

Front

What does the inequality y - 13 ≤ -15 represent?

Back

It represents all values of y that are less than or equal to -2.

Front

How do you solve the inequality y - 13 ≤ -15?

Back

Add 13 to both sides to get y ≤ -2.

Front

What is the solution to the inequality 30 + n ≥ 50?

Back

n ≥ 20.

Front

How do you graph the solution n ≥ 20 on a number line?

Back

Draw a closed circle on 20 and shade to the right.