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 not equal to the other.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you represent a situation where a total cost must not exceed a certain amount?

Back

You can represent it using an inequality, such as 'total cost ≤ maximum amount'.

Front

If a jacket costs $20 more than 3 times the price of a skirt, how would you express the price of the skirt in terms of the jacket's price?

Back

Let x be the price of the skirt. The price of the jacket can be expressed as 3x + 20.

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

How do you solve the inequality 3p + 5.5 ≤ 10 for p?

Back

Subtract 5.5 from both sides: 3p ≤ 4.5, then divide by 3: p ≤ 1.5.

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values for the variable that can satisfy the inequality.

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 is a real-world example of using inequalities?

Back

Determining how many hours to work to earn enough money for a purchase, like a calculator.