# How do you graph \frac{5x-1}{4} > -2 (x+5)?

May 19, 2018

See the explanation :D

#### Explanation:

$\frac{5 x - 1}{4} > - 2 \left(x + 5\right)$

solve for x.

multiply both sides by 4

$5 x - 1 > - 8 \left(x + 5\right)$

$5 x - 1 > - 8 x - 40$

add $8 x$ to both sides and add $1$ to both sides

$13 x > - 39$

divide both sides by 13

$x > - 3$

now go to -3 on the x-axis and draw a vertical dotted line and everything greater than -3 is included as indicated from $x > - 3$
so the graph of it will look like this

(dotted line because -3 is not included in x sloutions set because it is x greater than -3 not greater than or equal if it is greater than or equal you will draw constant line)

graph{x > -3 [-4.312, 1.848, -1.61, 1.47]}

((to check your graph and to play with graphs try graphing calculators or there are many graphing websites like https://www.desmos.com/calculator))