Inequality Word Problems

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

How do you represent 'more than' in an inequality?

Back

'More than' is represented by the symbol '>'.

Front

How do you represent 'less than or equal to' in an inequality?

Back

'Less than or equal to' is represented by the symbol '≤'.

Front

What does the inequality 7x ≥ 14 mean?

Back

It means that 7 times a number x is at least 14.

Front

How do you solve the inequality 15h ≥ 105?

Back

To solve for h, divide both sides by 15: h ≥ 7.

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 does the inequality 22 + 4n < 82 represent?

Back

It represents that twenty-two more than four times a number n is less than 82.

Front

How do you write an inequality for 'at least'?

Back

'At least' is represented by the symbol '≥'.

Front

If Johnny wants to earn at least $105, what inequality represents his earnings?

Back

The inequality is 15h ≥ 105, where h is the number of hours he works.

Front

What is the solution to the inequality 4n + 22 < 82?

Back

To solve for n, subtract 22 from both sides: 4n < 60, then divide by 4: n < 15.