Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you represent 'x is greater than 3' in inequality form?

Back

x > 3

Front

How do you represent 'x is less than or equal to 5' in inequality form?

Back

x ≤ 5

Front

What does the number line graph for x ≥ 3 look like?

Back

A solid dot at 3 and a line extending to the right.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

What is the solution set for the inequality x < 4?

Back

The solution set includes all numbers less than 4.

Front

How do you solve the inequality 2x - 3 > 5?

Back

Add 3 to both sides to get 2x > 8, then divide by 2 to find x > 4.

Front

What is the solution to the inequality -3x ≤ 9?

Back

Divide by -3 (flipping the sign) to get x ≥ -3.