MATH: INEQUALITIES UNIT TEST.

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 YOUR WORK.

Answer 1

Let's assume the unknown number as "x".

According to the problem, "Five more than four times a number is less than 25."

We can write this inequality as:
4x + 5 < 25

To solve this inequality, we will isolate the variable x by performing the following steps:

1. Subtract 5 from both sides of the inequality:
4x + 5 - 5 < 25 - 5
4x < 20

2. Divide both sides of the inequality by 4:
(4x)/4 < 20/4
x < 5

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