Question

хFor each value of x, determine whether it is a solution to 2 = X/2-4

Answer 1

Solution:

Given:

$2=\frac{x}{2}-4$$\begin{gathered} \text{when} \\ x=-8 \\ \frac{x}{2}-4 \\ \frac{-8}{2}-4 \\ -4-4=-8 \\ \\ 2\ne-8 \\ \\ \text{Hence it is not a solution} \end{gathered}$

Therefore, x = -8 is NOT A SOLUTION.

$\begin{gathered} \text{when} \\ x=18 \\ \frac{x}{2}-4 \\ \frac{18}{2}-4 \\ 9-4=5 \\ \\ 2\ne5 \\ \\ \text{Hence it is not a solution} \end{gathered}$

Therefore, x = 18 is NOT A SOLUTION.

$\begin{gathered} \text{when} \\ x=-10 \\ \frac{x}{2}-4 \\ \frac{-10}{2}-4 \\ -5-4=-9 \\ \\ 2\ne-9 \\ \\ \text{Hence it is not a solution} \end{gathered}$

Therefore, x = -10 is NOT A SOLUTION.

$\begin{gathered} \text{when} \\ x=16 \\ \frac{x}{2}-4 \\ \frac{16}{2}-4 \\ 8-4=4 \\ \\ 2\ne4 \\ \\ \text{Hence it is not a solution} \end{gathered}$

Therefore, x = 16 is NOT A SOLUTION.

Summarily,