Inequalities Word Problems - 1ST PD

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, or equal to the other.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you represent a situation where a number is at most a certain value?

Back

You can represent it using the '≤' symbol. For example, if a number x is at most 25, it can be written as x ≤ 25.

Front

If Johnny earns $15 per hour, how can we express the minimum hours he needs to work to earn at least $105?

Back

The inequality is 15h ≥ 105.

Front

What is the first step to solve the inequality 15h ≥ 105?

Back

Divide both sides by 15 to isolate h: h ≥ 7.

Front

How can you express that a total amount spent by four sisters is up to $60 each?

Back

You can express it as x ÷ 4 ≤ 60, where x is the total amount spent.

Front

What is the solution to the inequality x - 9 ≤ 25?

Back

Add 9 to both sides to find x: x ≤ 34.

Front

If a tree currently measures 6 feet and can grow to at most 35 feet, how do you express the growth in feet?

Back

The inequality is 6 + x ≤ 35, where x is the additional height.

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values that satisfy the inequality, often represented by a contradiction.