Question

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

Answer 1

See the explanation :D

Explanation:

`(5x-1)/4 > -2(x+5)`

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solve for x.

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multiply both sides by 4

`5x-1> -8(x+5)`

`5x-1> -8x-40`

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

`13x> -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))