Which system of Linear Inequalities has the Point (2, 1) in its Solution Set?

A. y<-x+3

B. y≤1/2x+3

Correct Answer: B

Explanation: Since point(2,1) has x = 2, y=1

substitute x=2 into y<-x+3 then we get:

  y<-2+3

  y<1 ( which does not satisfy the inequality condition on y =1)

substitute x=2 into y≤1/2x+3 then we get:

  y≤1/2(2)+3 ⇒  y≤1+3 ⇒  y≤4

And y =1 satisfies the condition y≤4

So the linear inequalities system with a point (2,1) in its solution set is y≤1/2x+3.

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