7.5-7.7 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, or equal to the other.

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

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

How do you solve the inequality 8x ≥ -32?

Back

Divide both sides by 8: x ≥ -4.

Front

What does 'at most' indicate in an inequality?

Back

'At most' indicates that the value can be less than or equal to a certain number, represented by '≤'.

Front

What does 'at least' indicate in an inequality?

Back

'At least' indicates that the value can be greater than or equal to a certain number, represented by '≥'.

Front

If x < 5, what can we say about x?

Back

x can be any number less than 5.

Front

If x ≥ 3, what can we say about x?

Back

x can be any number greater than or equal to 3.