PA6 Inequalities Unit Test Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, ≥) to show that one expression is not equal to the other.

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is any number greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, y < 3 means y is any number less than 3.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8. Then divide by 2: x < 4.

Front

What is the solution set for the inequality 3y < 9?

Back

The solution set is y < 3.

Front

How do you graph the inequality x > 5 on a number line?

Back

Draw an open circle at 5 and shade to the right to indicate all numbers greater than 5.

Front

What does 'at least' mean in an inequality?

Back

'At least' means greater than or equal to, represented by the symbol ≥.

Front

Translate the phrase 'Five less than a number is greater than 10' into an inequality.

Back

n - 5 > 10.

Front

What is the solution to the inequality 3x - 7 > 8?

Back

x > 5.

Front

How do you solve the inequality 4x + 1 ≤ 13?

Back

Subtract 1 from both sides: 4x ≤ 12. Then divide by 4: x ≤ 3.