Question

Can you tell me what letters match and show work?

Answer 1

Given the inequality:

`(x)/(4)-5>-4`

To solve,

step 1: Add 5 to both sides of the inequality.

Thus,

`\begin{gathered} (x)/(4)-5+5>-4+5 \\ \Rightarrow(x)/(4)>1 \end{gathered}`

step 2: Multiply through by 4

Thus,

`\begin{gathered} 4((x)/(4))>4(1) \\ \Rightarrow x>4 \end{gathered}`

Hence, the solution is

`x>4`

The correct letter that matches the inequality is B