Solving Inequalities

Front

What is an inequality?

Back

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

Front

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

Back

The symbol '>' means 'greater than'.

Front

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

Back

The symbol '<' means 'less than'.

Front

How do you represent a situation where a driver needs to earn more than a certain amount?

Back

You can represent it with an inequality, such as 0.85x + 375 > 450.

Front

What type of circle is used when graphing the inequality x > 2?

Back

An open circle is used when graphing x > 2.

Front

How do you solve the inequality 10 - 3x < 16?

Back

First, subtract 10 from both sides: -3x < 6. Then divide by -3 (remember to flip the inequality): x > -2.

Front

What does the inequality 28 + 2x > 50 represent?

Back

It represents that the total practice time must be more than 50 minutes.

Front

What is the first step in solving the inequality 0.85x + 375 > 450?

Back

Subtract 375 from both sides: 0.85x > 75.

Front

What is the solution to the inequality 0.85x > 75?

Back

Divide both sides by 0.85: x > 88.24.

Front

What does a closed circle indicate when graphing inequalities?

Back

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