Inequalities Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing 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 word problem as an inequality?

Back

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

Front

What is the first step in solving an inequality word problem?

Back

Read the problem carefully to understand what is being asked and identify the variables.

Front

If Daniel can spend no more than $40, what does this imply about his spending?

Back

It implies that his total spending must be less than or equal to $40.

Front

In the problem about Joan, what does '5x + 10 ≥ 100' represent?

Back

It represents the total amount of money Joan will earn from babysitting (5 dollars per hour for x hours plus 10 dollars) being at least 100 dollars.

Front

How do you isolate a variable in an inequality?

Back

You perform the same operations on both sides of the inequality to get the variable by itself.

Front

What does the solution '5.1 + 2.5y ≤ 60' tell us about the willow tree's growth?

Back

It tells us that the height of the tree after y years must be less than or equal to 60 feet.

Front

What is the significance of the constant term in an inequality?

Back

The constant term represents a fixed value that affects the overall relationship in the inequality.

Front

In the context of Mrs. Scott's jacket and skirt problem, what does '3x + 20 ≤ 120' mean?

Back

It means that the total cost of the jacket (which is 20 dollars more than three times the price of the skirt) must be less than or equal to 120 dollars.