Inequalities and 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

What does the symbol '≥' mean?

Back

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

Front

How do you represent a situation where a number is at least a certain value?

Back

You can represent it using an inequality, for example, x ≥ 5 means x is at least 5.

Front

If a number is increased by 8 and the result is at least 15, what inequality represents this situation?

Back

x + 8 ≥ 15.

Front

What is the solution to the inequality x + 8 ≥ 15?

Back

x ≥ 7.

Front

How do you express that a quantity is less than a certain value?

Back

You can express it using an inequality, for example, y < 10 means y is less than 10.

Front

If Todd caught at least three times as many fish this year than last year and caught 63 fish this year, what inequality represents how many fish he caught last year?

Back

3y ≥ 63.

Front

What is the minimum number of fish Todd could have caught last year if he caught 63 fish this year?

Back

y ≥ 21.

Front

If a recipe calls for at least 2 cups of sugar and you only have 1.5 cups, how much more sugar do you need?

Back

You need at least 0.5 cups more.