Inequalities Word Problems #1

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 situation where a tree grows over time?

Back

You can represent it with an inequality, such as initial height + growth rate * time ≤ maximum height.

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

What does the symbol '≥' mean?

Back

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

Front

How can you represent the total cost of items with an inequality?

Back

You can represent it as total cost ≤ budget.

Front

What is the inequality for Joan's babysitting hours to buy a calculator?

Back

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

Front

How do you interpret the inequality 500 - 25x ≥ 200?

Back

It means that after withdrawing $25 each week, Triniti must have at least $200 left.

Front

What is the maximum number of people Andrea can invite to Lazer Zone if she has $100?

Back

The inequality 15 + 6x ≤ 100 represents this situation.

Front

What does it mean if an inequality has no solution?

Back

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