Question

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

Answer 1

Let's represent the number as 'x'.

The phrase "five more than four times a number" can be translated as: 4x + 5

The inequality can be written as: 4x + 5 < 25

Next, let's solve the inequality:
Subtracting 5 from both sides, we have:
4x < 20

Dividing both sides by 4:
x < 5

Therefore, the possible values of the number 'x' are all real numbers less than 5.