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 '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality -3x ≤ 18?

Back

Divide both sides by -3, remembering to flip the inequality sign: x ≥ -6.

Front

Write an inequality for: 'Negative 4 times a number is smaller than -12'.

Back

-4x < -12.

Front

How do you solve the inequality 2x > 12?

Back

Divide both sides by 2: x > 6.

Front

What is the first step in solving an inequality?

Back

Isolate the variable on one side of the inequality.

Front

If a college charges a reservation fee of $17 and $4 per hour, how do you express the total cost as an inequality?

Back

Let x be the number of hours. The total cost is 17 + 4x < 65.