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?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is any number less than 5.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 10 means x can be any number less than or equal to 10.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 7 means x can be any number greater than or equal to 7.

Front

How do you solve the inequality 15x + 60 < 240?

Back

Subtract 60 from both sides: 15x < 180. Then divide by 15: x < 12.

Front

How do you solve the inequality 25x + 40 ≥ 415?

Back

Subtract 40 from both sides: 25x ≥ 375. Then divide by 25: x ≥ 15.

Front

What is a real-world example of the inequality 0.60x + 150 < 200?

Back

A car towing service charges $150 to pick up the car and $0.60 per mile. The greatest number of miles for less than $200 is found by solving the inequality.

Front

What is the solution set for the inequality -x + 12 ≥ -8?

Back

Add x to both sides and subtract 12: x ≤ 20.

Front

If Benito solves the inequality 3.5x + 8 > 78, what should he do with the cards that are not part of the solution set?

Back

He should remove Cards A, C, and D.