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 'greater than'.

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 or equal to'.

Front

What does the symbol '≤' represent in inequalities?

Back

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

Front

How do you solve the inequality 3 + 6x < 15?

Back

Subtract 3 from both sides to get 6x < 12, then divide by 6 to find x < 2.

Front

How do you solve the inequality 15 + 7x ≥ 29?

Back

Subtract 15 from both sides to get 7x ≥ 14, then divide by 7 to find x ≥ 2.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.

Front

What is the difference between solving an equation and solving an inequality?

Back

When solving an inequality, the solution set may include a range of values, and the direction of the inequality may change when multiplying or dividing by a negative number.

Front

How can you represent a word problem as an inequality?

Back

Identify the quantities involved, determine the relationship between them, and express it using inequality symbols.