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. like a 10th grader
Let's call the number "x".
The phrase "Five more than four times a number" can be translated to the inequality 4x + 5.
The phrase "is less than 25" can be translated to the inequality 4x + 5 < 25.
To solve this inequality, we need to isolate x.
Subtracting 5 from both sides of the inequality:
4x + 5 - 5 < 25 - 5
4x < 20
Dividing both sides of the inequality by 4:
(4x)/4 < 20/4
x < 5
Therefore, the possible values of the number are all real numbers less than 5.