9.3 Solve Inequalities

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?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you represent the inequality x ≥ 3 on a number line?

Back

Draw a closed dot on 3 and shade to the right.

Front

What does a closed dot on a number line indicate?

Back

A closed dot indicates that the number is included in the solution set.

Front

How do you represent the inequality x < 4 on a number line?

Back

Draw an open dot on 4 and shade to the left.

Front

What does an open dot on a number line indicate?

Back

An open dot indicates that the number is not included in the solution set.

Front

Solve the inequality: 10 < 3x + 19. What is x?

Back

x > -3.

Front

What is the solution set for the inequality 5 ≥ x?

Back

The solution set is all numbers less than or equal to 5.

Front

How do you solve the inequality x - 3 > -3?

Back

Add 3 to both sides to get x > 0.