Solving 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

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

Front

What does the symbol '≥' mean?

Back

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

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 happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips (changes direction).

Front

If x + 5 ≥ 10, what is the value of x?

Back

x ≥ 5.

Front

What is the solution to the inequality 3x - 4 > 5?

Back

Add 4 to both sides: 3x > 9. Then divide by 3: x > 3.

Front

What does the graph of x < 2 look like?

Back

A number line with an open circle at 2 and shading to the left.

Front

How do you represent the inequality 'y is greater than 3'?

Back

y > 3.

Front

What is the solution set for the inequality x + 2 ≤ 6?

Back

x ≤ 4.