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 '≥' 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

How do you solve the inequality 3x - 2 ≥ 34?

Back

Add 2 to both sides: 3x ≥ 36. Then divide by 3: x ≥ 12.

Front

What is the solution to the inequality 5z - 2 - 2z < 13?

Back

Combine like terms: 3z - 2 < 13. Add 2 to both sides: 3z < 15. Then divide by 3: z < 5.

Front

Solve the inequality: 30 + n ≥ 50.

Back

Subtract 30 from both sides: n ≥ 20.

Front

What is the solution to the inequality 10 < 3x + 19?

Back

Subtract 19 from both sides: -9 < 3x. Then divide by 3: x > -3.

Front

How do you solve for k in the inequality 2k - 9 ≤ -19?

Back

Add 9 to both sides: 2k ≤ -10. Then divide by 2: k ≤ -5.

Front

What is the first step in solving an inequality?

Back

Isolate the variable by performing inverse operations on both sides of the inequality.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips (changes direction).