Inequalities Remediation

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 not equal to the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or exactly equal to another value.

Front

How do you represent a maximum limit in an inequality?

Back

A maximum limit is represented using '≤'. For example, if the maximum amount is 250, it is written as m ≤ 250.

Front

What is the solution to the inequality x - 5 < 20?

Back

The solution is x < 25. This means x can be any number less than 25.

Front

How do you solve the inequality 1.25x ≤ 15?

Back

To solve for x, divide both sides by 1.25. The solution is x ≤ 12, meaning Matt can buy a maximum of 12 cookies.

Front

What does the graph of x ≥ 11 look like?

Back

The graph of x ≥ 11 includes a solid dot at 11 and a line extending to the right, indicating all values greater than or equal to 11.

Front

What does the graph of x < -2 look like?

Back

The graph of x < -2 includes an open dot at -2 and a line extending to the left, indicating all values less than -2.

Front

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

Back

'>' means greater than, while '≥' means greater than or equal to. The latter includes the endpoint in the solution.

Front

If m ≤ 250, what are some possible values for m?

Back

Possible values for m include 250, 200, 150, or any number less than 250.