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
Let's call the number x. The problem states that "five more than four times a number is less than 25." This can be written as the inequality:
4x + 5 < 25
To solve this inequality, we will isolate the variable x by subtracting 5 from both sides:
4x + 5 - 5 < 25 - 5
4x < 20
Now, divide both sides of the inequality by 4:
4x/4 < 20/4
x < 5
So, the possible values of the number x are all real numbers less than 5.