Inequalities 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, 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 inequality represents his spending limit?

Back

1.50x + 10 ≤ 40, where x is the number of rides.

Front

How do you isolate a variable in an inequality?

Back

Use inverse operations to move terms to one side of the inequality, just like in equations.

Front

What is the solution to the inequality 5x + 10 ≥ 100?

Back

x ≥ 18, meaning Joan needs to babysit at least 18 hours.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves shading the region of the graph that satisfies the inequality.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

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

Back

Substitute the solution back into the original inequality to see if it holds true.