Inequalities Word Problems #1

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

How do you represent a situation where you cannot exceed a certain amount?

Back

You use an inequality to represent the situation, such as 'x ≤ maximum amount'.

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

If you multiply or divide both sides of an inequality by a negative number, what happens?

Back

You must reverse the inequality sign.

Front

How can you check if a solution to an inequality is correct?

Back

You can substitute the solution back into the original inequality to see if it holds true.

Front

What does the inequality '3p + 5.5 ≤ 10' represent in a word problem?

Back

It represents a situation where the total cost of vegetables and a basket must not exceed $10.

Front

What is the meaning of 'x' in the inequality '3x + 20 ≤ 120'?

Back

In this context, 'x' represents the price of the skirt.

Front

How do you interpret the inequality '5.1 + 2.5y ≤ 60'?

Back

It means that the height of the willow tree after 'y' years must be no more than 60 feet.

Front

What does the inequality '1.50x + 10 ≤ 40' indicate?

Back

It indicates that the total cost of admission and rides must not exceed $40.