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 number 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: 2(x + 4) ≤ 10?

Back

First, distribute 2: 2x + 8 ≤ 10. Then, subtract 8 from both sides: 2x ≤ 2. Finally, divide by 2: x ≤ 1.

Front

How do you solve the inequality: 2x/3 ≤ 8?

Back

Multiply both sides by 3: 2x ≤ 24. Then, divide by 2: x ≤ 12.

Front

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

Back

First, distribute 5: 5x - 10 > 25. Then, add 10 to both sides: 5x > 35. Finally, divide by 5: x > 7.

Front

How do you solve the inequality: 2x - 3 > 7?

Back

Add 3 to both sides: 2x > 10. Then, divide by 2: x > 5.