Inequalities

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, or equal to the other.

Front

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'. For example, 3 < 5 means 3 is less than 5.

Front

What does the symbol '>' represent?

Back

The symbol '>' means 'greater than'. For example, 7 > 4 means 7 is greater than 4.

Front

What does the symbol '<=' represent?

Back

The symbol '<=' means 'less than or equal to'. For example, x <= 4 means x is less than or equal to 4.

Front

What does the symbol '>=' represent?

Back

The symbol '>=' means 'greater than or equal to'. For example, y >= 2 means y is greater than or equal to 2.

Front

How do you solve the inequality n + 1 ≤ 7?

Back

Subtract 1 from both sides: n ≤ 6.

Front

What is the solution to the inequality 2x + 1 < -3?

Back

Subtract 1 from both sides: 2x < -4. Then divide by 2: x < -2.

Front

How do you graph the inequality x < -4?

Back

Draw a number line, place an open circle at -4, and shade to the left.

Front

What is the solution to the inequality 77 ≤ 5 + 8n?

Back

Subtract 5 from both sides: 72 ≤ 8n. Then divide by 8: 9 ≤ n or n ≥ 9.

Front

How do you graph the inequality 7n - 1 > 76?

Back

Add 1 to both sides: 7n > 77. Then divide by 7: n > 11. Draw a number line, place an open circle at 11, and shade to the right.