Chapter 4 Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

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

Back

Add 3 to both sides to get 13 ≥ x, which is the same as x ≤ 13.

Front

What is the solution to the inequality: -4x + 14 ≤ 54?

Back

Subtract 14 from both sides to get -4x ≤ 40, then divide by -4 (remember to flip the inequality) to find x ≥ -10.

Front

What does the inequality 6 > x represent?

Back

It represents that x can be any number less than 6.

Front

How do you solve the inequality: 5z - 2 - 2z < 13?

Back

Combine like terms to get 3z - 2 < 13, then add 2 to both sides to find 3z < 15, and divide by 3 to get z < 5.

Front

If 15 > x - 1, what are some possible values for x?

Back

Possible values for x include 1, 7, and 15, since x must be less than 16.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.

Front

Can you multiply or divide both sides of an inequality by a negative number?

Back

Yes, but you must flip the inequality sign when you do.