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

'≤' means 'less than or equal to'. It indicates that the value on the left can be either less than or equal to the value on the right.

Front

What does the symbol '>' represent in inequalities?

Back

'>' means 'greater than'. It indicates that the value on the left is strictly greater than the value on the right.

Front

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

Back

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

Front

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

Back

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

Front

How do you solve the inequality 4h < 8?

Back

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

Front

What does the symbol '<' represent in inequalities?

Back

'<' means 'less than'. It indicates that the value on the left is strictly less than the value on the right.

Front

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

Back

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

Front

What is the importance of reversing the inequality sign when dividing by a negative number?

Back

When you divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign must be reversed to maintain the truth of the statement.

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more inequalities, often connected by 'and' or 'or'.