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.
put it in teen words.
Let's break down the problem into steps using "Teen Talk"!
Step 1: Define the unknown number.
Let's call the unknown number "x".
Step 2: Translate the given information into an inequality.
"Five more than four times a number" can be written as "4x + 5".
The inequality becomes:
4x + 5 < 25
Step 3: Solve the inequality.
To solve the inequality, we need to isolate the variable "x". Let's subtract 5 from both sides of the inequality:
4x + 5 - 5 < 25 - 5
4x < 20
Finally, divide both sides of the inequality by 4:
4x/4 < 20/4
x < 5
Step 4: Determine the possible values of the number.
In this case, the number x can have any value that is less than 5.
So, the possible values for the number are all the values less than 5.
In inequality form, we can express this as x < 5.