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, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' represent in inequalities?

Back

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

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

How do you solve the inequality 4h < 8?

Back

To solve 4h < 8, divide both sides by 4 to get h < 2.

Front

How do you solve the inequality x - 4 > 5?

Back

To solve x - 4 > 5, add 4 to both sides to get x > 9.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

To solve x + 5 ≤ 13, subtract 5 from both sides to get x ≤ 8.

Front

What does a number line graph representing x ≥ 3 look like?

Back

The graph includes a solid dot at 3 and a line extending to the right, indicating all values greater than or equal to 3.

Front

How do you solve the inequality -8x < 48?

Back

To solve -8x < 48, divide both sides by -8 (remember to flip the inequality sign) to get x > -6.