Writing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you represent the statement 'You have to be 18 or older to buy a lottery ticket' as an inequality?

Back

p ≥ 18

Front

If a caterer charges a service fee of $175 and the total cost must be less than $1,000, how can we express the food fee as an inequality?

Back

x + 175 < 1000

Front

Keith needs to earn at least $250 in 8 weeks. How can we express his weekly earnings as an inequality?

Back

8x ≥ 250

Front

If you need to practice for at least 45 minutes and have already practiced for 14 minutes, how can you express the remaining practice time as an inequality?

Back

x + 14 ≥ 45

Front

Aiko wants to make more than $180 selling books for $12 each. How can we express the number of books she needs to sell as an inequality?

Back

12x > 180

Front

What is the first step in solving an inequality?

Back

Isolate the variable on one side of the inequality.

Front

What does it mean to 'solve an inequality'?

Back

To find all values of the variable that make the inequality true.