Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality 10 ≥ x - 3?

Back

Add 3 to both sides to get x ≤ 13.

Front

What type of dot is used when graphing the inequality x < 5?

Back

An open dot is used when graphing the inequality x < 5.

Front

What type of dot is used when graphing the inequality x ≤ 5?

Back

A closed dot is used when graphing the inequality x ≤ 5.

Front

How do you solve the inequality 6 - 2h > 30?

Back

Subtract 6 from both sides to get -2h > 24, then divide by -2 to get h < -12.

Front

What is the solution to the inequality 4x - 2 ≤ -22?

Back

Add 2 to both sides to get 4x ≤ -20, then divide by 4 to get x ≤ -5.

Front

What does it mean if a solution to an inequality is x ≥ 14?

Back

It means that x can be 14 or any number greater than 14.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.