Question

Can you tell me what letters match and show work?

Answer 1

Solution:

Given the inequality:

$\frac{x}{4}-5>-4$

To solve,

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

Thus,

$\begin{gathered} \frac{x}{4}-5+5>-4+5 \\ \Rightarrow\frac{x}{4}>1 \end{gathered}$

step 2: Multiply through by 4

Thus,

$\begin{gathered} 4(\frac{x}{4})>4(1) \\ \Rightarrow x>4 \end{gathered}$

Hence, the solution is

$x>4$

The correct letter that matches the inequality is B