Question

What are all the possible values of x that satisfy x/4+8>24?

Answer 1

Given the inequality:

`(x)/(4)+8>24`

Let's find the possible values of x that satisfy the inequality.

To find the possible values of x, let's solve the inequality for x.

Take the following steps:

Step 1:

Subtract 8 from both sides of the inequality

`\begin{gathered} (x)/(4)+8-8>24-8 \\ \\ (x)/(4)+0>16 \\ \\ (x)/(4)>16 \end{gathered}`

Step 2:

Multiply both sides by 4

`\begin{gathered} (x)/(4)\ast4>16\ast4 \\ \\ x>64 \end{gathered}`

Since x > 64, this means that the possible values of x that satisfy the inequality must be all real numbers greater than 64.

ANSWER:

x > 64