Question 139443


{{{x+8>2}}} Start with the given inequality




{{{x>2-8}}}Subtract 8 from both sides



{{{x>-6}}} Combine like terms on the right side


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Answer:

So our answer is {{{x>-6}}} 




Now let's graph the solution set






*[Tex \LARGE x > -6] Start with the given inequality



Plot the point {{{x=-6}}} on a number line


{{{number_line( 500, -16, 4, -6 )}}}



Now plug in {{{x=0}}} into the inequality


*[Tex \LARGE 0 > -6]




Since *[Tex \LARGE 0 > -6] is true, this means that we shade the entire region that {{{x=0}}} is in.



So shade to the  right of {{{x=-6}}} .  Note: there is a <b>open</b> circle at {{{x=-6}}} 

{{{drawing(500,80,-16, 4,-10, 10,
number_line( 500, -16, 4,-6),

arrow(-6,0,4,0),
arrow(-6,0.30,4,0.30),
arrow(-6,0.15,4,0.15),
arrow(-6,-0.15,4,-0.15),
arrow(-6,-0.30,4,-0.30),

circle(-6,0,0.3),
circle(-6,0,0.3-0.02)
)}}}