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