Solving inequalities (Math Lab)

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?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality 2(b - 8) > 12?

Back

First, distribute the 2: 2b - 16 > 12. Then, add 16 to both sides: 2b > 28. Finally, divide by 2: b > 14.

Front

Translate the phrase 'A number increased by 4 is no more than -18' into an inequality.

Back

x + 4 ≤ -18.

Front

How do you isolate x in the inequality 10 ≥ x - 3?

Back

Add 3 to both sides to get 13 ≥ x, which can be rewritten as x ≤ 13.

Front

What is the first step in solving the inequality 3x + 10 < 31?

Back

Subtract 10 from both sides to get 3x < 21.

Front

What is the solution to the inequality 3x < 21?

Back

Divide both sides by 3 to get x < 7.

Front

What does it mean to 'graph an inequality'?

Back

Graphing an inequality involves representing the solutions of the inequality on a number line, using open or closed circles to indicate whether endpoints are included.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoint, while non-strict inequalities (≤, ≥) do include the endpoint.