Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality -2x + 7 < 19?

Back

To solve -2x + 7 < 19, subtract 7 from both sides to get -2x < 12, then divide by -2 (remember to flip the inequality sign) to get x > -6.

Front

What is the solution to the inequality x > -2?

Back

The solution x > -2 means that x can be any number greater than -2.

Front

How do you interpret the inequality x < 3?

Back

The inequality x < 3 means that x can be any number less than 3.

Front

What does the statement 'you must be at least 48 inches to ride the roller coaster' translate to in inequality form?

Back

This statement translates to the inequality x ≥ 48, where x represents height in inches.

Front

If you and your friends ate more than 8 slices of pizza, how would you express this in inequality form?

Back

This can be expressed as x > 8, where x represents the number of slices eaten.