Inequalities Word Problems - 4TH PD

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'. It indicates that one value can be either less than or equal to another value.

Front

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

Back

You can represent this situation using an inequality, such as 'cost ≤ maximum amount'.

Front

If a person can spend at most $50, how would you write this as an inequality?

Back

You would write it as 'x ≤ 50', where x is the amount spent.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. It indicates that one value is strictly larger than another.

Front

How can you express that a number decreased by 5 is at most 20?

Back

You can express this as the inequality 'x - 5 ≤ 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

If you have the inequality '3x ≤ 12', how do you solve for x?

Back

You divide both sides by 3 to get 'x ≤ 4'.

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values that can satisfy the inequality, often resulting from contradictory statements.

Front

How do you graph an inequality on a number line?

Back

You use an open circle for '>' or '<' and a closed circle for '≥' or '≤', then shade the appropriate side.