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

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality -8k - 4 ≤ -60?

Back

Add 4 to both sides: -8k ≤ -56. Then divide by -8 (remember to flip the inequality): k ≥ 7.

Front

What is the first step to solve the inequality 3x - 2 < 13?

Back

Add 2 to both sides: 3x < 15.

Front

What is the solution to the inequality 3x < 15?

Back

Divide by 3: x < 5.

Front

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

Back

Add 3 to both sides: 13 ≥ x, or x ≤ 13.

Front

What is the solution to the inequality x - 11 ≥ 1?

Back

Add 11 to both sides: x ≥ 12.

Front

What does it mean to 'flip' the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of an inequality by a negative number.

Front

What is the solution to the inequality x + 3 ≤ 10?

Back

Subtract 3 from both sides: x ≤ 7.