Question

Solve this problem by writing and solving an inequality. Five more than four times a number is less than 25. What are the possible values of the number? Show you work

Answer 1

Let's represent the number as "x".

Five more than four times a number is expressed as "4x + 5".

According to the problem, this expression is less than 25.

Therefore, we can write the inequality as:

4x + 5 < 25

To solve for x, we need to isolate it on one side of the inequality.

Subtracting 5 from both sides of the inequality, we get:

4x < 20

Next, we divide both sides of the inequality by 4 to solve for x:

x < 5

Therefore, the possible values of the number (x) are any number less than 5.