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

1 Answer
May 19, 2018

See the explanation :D

Explanation:

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


solve for x.


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))