Linear Inequalities: One Variable

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality 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 side is smaller than the value on the right side.

Front

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

Back

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

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 side is either smaller than or equal to the value on the right side.

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 side is either larger than or equal to the value on the right side.

Front

How do you solve the inequality: x + 5 < 10?

Back

Subtract 5 from both sides: x < 5.

Front

How do you solve the inequality: 4x/2 ≥ 6?

Back

First simplify: 2x ≥ 6. Then divide by 2: x ≥ 3.

Front

How do you solve the inequality: 4x - 2 ≥ 10?

Back

Add 2 to both sides: 4x ≥ 12. Then divide by 4: x ≥ 3.

Front

How do you solve the inequality: 5(x - 2) > 25?

Back

Distribute: 5x - 10 > 25. Add 10: 5x > 35. Then divide by 5: x > 7.

Front

How do you solve the inequality: 2(x + 4) ≤ 10?

Back

Distribute: 2x + 8 ≤ 10. Subtract 8: 2x ≤ 2. Then divide by 2: x ≤ 1.