For which system of inequalities is (-3,1)(-3,1) a solution?

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1 Answer
Alan P.
Jun 20, 2018

#H#: #{(x+y <=-2),(2x-3y <=-9):}#

Explanation:

With #x==3# and #y=1#

#color(white)("XXX")x+y=-2#
#color(white)("XXX")#So #x+y < -2# is not valid, but #x+y <= -2# is valid.

#color(white)("XXX")2x-3y =-9#
#color(white)("XXX")#So #2x-3y < 9# is not valid, but #2x-3y <= -9# is valid.

The only option for which both cases are valid is #H#

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