Solving Inequalities

Front

What does the inequality x < 4 represent on a number line?

Back

The values of x that are less than 4, represented by an open circle at 4 and shading to the left.

Front

Solve the inequality: x - 4 > 5

Back

x > 9

Front

What does the inequality x ≥ 3 represent on a number line?

Back

The values of x that are greater than or equal to 3, represented by a closed circle at 3 and shading to the right.

Front

Solve the inequality: x + 5 ≤ 13

Back

x ≤ 8

Front

Solve the inequality: 4h < 8

Back

h < 2

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 '≤' mean?

Back

It means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

It means 'greater than or equal to'.

Front

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

Back

Subtract 3 from both sides to get 2x < 8, then divide by 2 to find x < 4.

Front

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

Back

All real numbers greater than 5.