# How do you solve and graph 1/2x-4> -6?

Jun 19, 2018

$x > 4$, so shade all the graph above four, and use dotted line on the value 4 to say that value is not included

#### Explanation:

At the first take the $- 4$ to the other side so $- 6$ becomes $- 2$
then multiply $- 2$ with $2$ from the denominator of the other side so the inequality $x > 4$ comes

Jun 19, 2018

$x > - 4$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} \frac{1}{2} x - 4 > - 6$

Remember that we can
$\textcolor{w h i t e}{\text{XXX}}$add or subtract any number or
$\textcolor{w h i t e}{\text{XXX}}$multiply or divided any number greater than zero
on both sides of an inequality without changing the direction or validity of the inequality.

Adding $4$ to both sides of the given inequality:
$\textcolor{w h i t e}{\text{XXX}} \frac{1}{2} x > - 2$
Then multiplying both sides by $2$
$\textcolor{w h i t e}{\text{XXX}} x > - 4$

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Note: I modified the question which contained the sequence ">-6" (and thus appeared as $\succ 6$) to "> -6" (so it appears as $> - 6$). Hopefully this is what was intended.