Solving Inequalities (Fem)

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 in an inequality?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either smaller than or equal to the value on the right.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either larger than or equal to the value on the right.

Front

How do you solve the inequality 3x - 5 < 16?

Back

Add 5 to both sides: 3x < 21. Then divide by 3: x < 7.

Front

How do you solve the inequality 2n - 6 < 16?

Back

Add 6 to both sides: 2n < 22. Then divide by 2: n < 11.

Front

How do you solve the inequality 2n + 7 > 13?

Back

Subtract 7 from both sides: 2n > 6. Then divide by 2: n > 3.

Front

How do you solve the inequality 2(3x - 4) + 6 ≤ 34?

Back

Distribute: 6x - 8 + 6 ≤ 34. Combine like terms: 6x - 2 ≤ 34. Add 2: 6x ≤ 36. Then divide by 6: x ≤ 6.

Front

How do you solve the inequality 2(x + 1) + 4 < 28?

Back

Distribute: 2x + 2 + 4 < 28. Combine like terms: 2x + 6 < 28. Subtract 6: 2x < 22. Then divide by 2: x < 11.