Solve this problem by writing and solving an inequality.

Question

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.

Answer 1

Let's assume the number is "x".

The given statement "Five more than four times a number is less than 25" can be translated into an inequality as follows:

4x + 5 < 25

Now, we can solve this inequality to find the possible values of the number "x".

Subtracting 5 from both sides of the inequality:

4x < 25 - 5
4x < 20

Dividing both sides by 4:

x < 20/4
x < 5

Therefore, the possible values of the number "x" are all real numbers that are less than 5.

Answer 2

could you summarize this to a paragraph

Answer 3

Sure! The problem states that "Five more than four times a number is less than 25." To represent this mathematically, we can write the inequality 4x + 5 < 25, where x represents the number. To solve this inequality, we first subtract 5 from both sides to isolate 4x. This gives us 4x < 20. Finally, we divide both sides by 4 to solve for x, which gives us x < 5. This means that all real numbers less than 5 are possible values for the number.