MATH: INEQUALITIES UNIT TEST.
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.
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.