Solving Inequalities

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 in inequalities?

Back

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

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you solve the inequality 2x < 10?

Back

Divide both sides by 2: x < 5.

Front

How do you solve the inequality 3x + 4 > 10?

Back

Subtract 4 from both sides: 3x > 6, then divide by 3: x > 2.

Front

What is the solution to the inequality x - 7 ≤ 1?

Back

Add 7 to both sides: x ≤ 8.

Front

What does the solution x > 9 represent on a number line?

Back

It represents all numbers to the right of 9, not including 9 itself.

Front

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

Back

Draw a number line, place an open circle on 4, and shade to the left.