Is the point #(0, 4)# a solution the system of inequalities #y<=-3x+4# and #y>5x-2#?

1 Answer
Binayaka C.
Jun 25, 2017

Yes, #(0,4)# is one of the solutions .

Explanation:

Does #(0,4)# satisfy #y <= -3 x +4# ? Substituting #x=0,y=4# , we get

#4<= -3*0+4 or 4 <= 4 # (yes).

Does #(0,4)# satisfy #y > 5x -2# ? Substituting #x=0,y=4# , we get

#4 > 5*0 -2 or 4 > -2 # (yes).

#(0,4)# satisfies both #y <= -3 x +4# and #y > 5x -2#

Yes, #(0,4)# is one of the solutions .[Ans]

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