Inequalities Word Problems

Front

What does the inequality m > 41 represent in a word problem context?

Back

It means that the value of m is greater than 41, such as 'Mary’s points, m, totaled more than 41.'

Front

If Joan needs $100 for a calculator and earns $5 per hour babysitting, which inequality represents her earnings?

Back

5x + 10 ≥ 100, where x is the number of hours she babysits.

Front

What is the maximum cost constraint for the DJ hired by the dance committee?

Back

125x + 55 < 600, where x is the number of hours the DJ plays.

Front

How can Daniel express his spending limit at the fair with an inequality?

Back

1.50x + 10 ≤ 40, where x is the number of rides he can go on.

Front

What inequality represents Erin's reading speed of at least 80 words per minute?

Back

x ≥ 80, where x is the number of words read per minute.

Front

Define an inequality. What does it express?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal, indicating that one is greater than, less than, or not equal to the other.

Front

What is the difference between 'greater than' and 'greater than or equal to' in inequalities?

Back

'Greater than' (>) means the value is strictly more, while 'greater than or equal to' (≥) includes the value itself.

Front

How do you represent a situation where a quantity must be less than a certain value?

Back

Use the '<' symbol, for example, x < 50 means x must be less than 50.

Front

What does the inequality x < 80 signify in a real-world context?

Back

It indicates that the value of x is less than 80, such as 'The temperature must be less than 80°F.'

Front

How can you express a situation where a total cost must not exceed a certain amount?

Back

Use the '≤' symbol, for example, total cost ≤ budget.