Question 210254


{{{x+7>2}}} Start with the given inequality.



{{{x>2-7}}} Subtract {{{7}}} from both sides.



{{{x>-5}}} Combine like terms on the right side.



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Answer:


So the solution is {{{x>-5}}} 



So the answer in interval notation is *[Tex \LARGE \left(-5,\infty\right)]



Also, the answer in set-builder notation is  *[Tex \LARGE \left\{x\|x>-5\right\}]



Here's the graph of the solution set


{{{drawing(500,80,-15, 5,-10, 10,
number_line( 500, -15, 5),

arrow(-5,0,5,0),
arrow(-5,0.30,5,0.30),
arrow(-5,0.15,5,0.15),
arrow(-5,-0.15,5,-0.15),
arrow(-5,-0.30,5,-0.30),

circle(-5,0,0.3),
circle(-5,0,0.3),
circle(-5,0,0.3),
circle(-5,0,0.3-0.02)
)}}}