Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥ to show that one expression is not equal to the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

Front

How do you represent a situation where a number is at least a certain value?

Back

You use the '≥' symbol. For example, if a person needs at least $50, you can represent it as x ≥ 50.

Front

What is the solution to the inequality 3x + 5 < 20?

Back

To solve, subtract 5 from both sides: 3x < 15. Then divide by 3: x < 5.

Front

What does the inequality x + 32 ≥ 80 represent in a word problem?

Back

It represents a situation where someone has earned $32 and wants to know how much more they need to earn to reach at least $80.

Front

If a number is less than 4, how would you write this as an inequality?

Back

You would write it as x < 4.

Front

What is the inequality that represents Johnny earning at least $105 if he earns $15 per hour?

Back

The inequality is 15h ≥ 105, where h is the number of hours he works.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal (using =), while an inequality shows that one expression is not equal to another (using <, >, ≤, or ≥).

Front

How do you solve the inequality 2x - 3 > 7?

Back

Add 3 to both sides: 2x > 10. Then divide by 2: x > 5.