Equalities and 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?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent?

Back

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

Front

What does the symbol '≤' represent?

Back

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

Front

How do you solve the equation 5x - 15 = 20?

Back

Add 15 to both sides to get 5x = 35, then divide by 5 to find x = 7.

Front

How do you solve the equation 2x + 13 = 49?

Back

Subtract 13 from both sides to get 2x = 36, then divide by 2 to find x = 18.

Front

What is the solution set of the inequality x > 3?

Back

The solution set is all real numbers greater than 3.

Front

What is the solution set of the inequality x ≤ 4?

Back

The solution set is all real numbers less than or equal to 4.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities using 'and' or 'or'.