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

1 Answer
Ahmemaru
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))

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