Question

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

Answer 1

Given the inequality:

$\frac{x}{4}+8>24$

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

$\begin{gathered} \frac{x}{4}+8-8>24-8 \\ \\ \frac{x}{4}+0>16 \\ \\ \frac{x}{4}>16 \end{gathered}$

Step 2:

Multiply both sides by 4

$\begin{gathered} \frac{x}{4}\ast4>16\ast4 \\ \\ x>64 \end{gathered}$

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