Question 183545


*[Tex \LARGE x > -7] Start with the given inequality



Plot the point {{{x=-7}}} on a number line


{{{number_line( 500, -17, 3, -7 )}}}



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


*[Tex \LARGE 0 > -7]




Since *[Tex \LARGE 0 > -7] is true, this means that we shade the entire region that {{{x=0}}} is in.



So shade to the  right of {{{x=-7}}} .  Note: there is a <b>open</b> circle at {{{x=-7}}} 

{{{drawing(500,80,-17, 3,-10, 10,
number_line( 500, -17, 3,-7),

arrow(-7,0,3,0),
arrow(-7,0.30,3,0.30),
arrow(-7,0.15,3,0.15),
arrow(-7,-0.15,3,-0.15),
arrow(-7,-0.30,3,-0.30),

circle(-7,0,0.3),
circle(-7,0,0.3-0.02)
)}}}