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. (4 points) make it like a teenager writing
Let's solve this problem, fam!
We can start by letting the number be represented by "x", because why not keep it real simple, right?
Now, "five more than four times a number" can be expressed as 4x + 5.
According to the problem, this expression is less than 25. So, we can write the inequality:
4x + 5 < 25
To solve this inequality, we need to isolate "x" by getting rid of the constant term, which is 5. We can do this by subtracting 5 from both sides:
4x + 5 - 5 < 25 - 5
4x < 20
Now, to solve for "x", we need to isolate it. Since 4 is multiplied by x, we need to divide both sides of the inequality by 4:
(4x)/4 < 20/4
x < 5
So, the possible values of the number are any values less than 5, my fellow teenager!
Stay cool and remember to toss those inequality signs when dividing by a negative number, but we didn't need to worry about that this time. Peace out!