Solving & Graphing Inequalities

Front

What is an inequality?

Back

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

Front

What does the inequality sign '>' mean?

Back

The '>' sign means 'greater than'. For example, x > 5 means x is any number greater than 5.

Front

What does the inequality sign '<' mean?

Back

The '<' sign means 'less than'. For example, x < 3 means x is any number less than 3.

Front

What does the inequality sign '≥' mean?

Back

The '≥' sign means 'greater than or equal to'. For example, x ≥ 4 means x is any number greater than or equal to 4.

Front

What does the inequality sign '≤' mean?

Back

The '≤' sign means 'less than or equal to'. For example, x ≤ 7 means x is any number less than or equal to 7.

Front

How do you solve the inequality b > 6?

Back

To solve b > 6, you isolate b. The solution is all numbers greater than 6.

Front

Translate: 'x is no more than 13'.

Back

The inequality is x ≤ 13.

Front

Translate: '5 times a number is at least 60'.

Back

The inequality is 5x ≥ 60.

Front

Translate: 'A number increased by 4 is no more than -18'.

Back

The inequality is x + 4 ≤ -18.

Front

What does 'at least' indicate in an inequality?

Back

'At least' indicates the use of the '≥' sign.