Question

Solve for x.−6>−30−4x

Answer 1

x>-6

1) Considering the following inequality, let's solve for x:

$-6>-30-4x$

2) Let's add 6 to both sides, and proceed with the operations:

$\begin{gathered} 6-6>6-30-4x \\ 0>-24-4x \\ 24>-4x\text{ :(-4)} \\ \frac{24}{-4}<\frac{-4x}{-4} \\ -6-6 \end{gathered}$

Note that when we divided by a negative number we switch the sign to greater than

3) Hence, the answer is

x > -6 or (-6,∞)