Question 142114
{{{y-5>-17}}} Start with the given inequality




{{{y>-17+5}}}Add 5 to both sides



{{{y>-12}}} Combine like terms on the right side


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Answer:

So our answer is {{{y>-12}}} 



which means that the solution in set-builder notation is  *[Tex \LARGE \left\{y\|y>-12\right\}]




Here's the graph of the solution set


{{{drawing(500,80,-22, -2,-10, 10,
number_line( 500, -22, -2),

arrow(-12,0,-2,0),
arrow(-12,0.30,-2,0.30),
arrow(-12,0.15,-2,0.15),
arrow(-12,-0.15,-2,-0.15),
arrow(-12,-0.30,-2,-0.30),

circle(-12,0,0.3),
circle(-12,0,0.3),
circle(-12,0,0.3),
circle(-12,0,0.3-0.02)
)}}}