Question

2x+y>5. Which of the following will satisfy the given equation?

(a) (1,1)

(b) (1,2)

(c) (2,1)

(d) (2,2)

This question was addressed to me by my school teacher while I was bunking the class.

I'd like to ask this question from Graphical Solution of Linear Variable in Two Variables topic in portion Linear Inequalities of Mathematics – Class 11

Answer 1

Right option is (d) (2,2)

The explanation is: 2x+y>5

(1,1) x=1 and y=1 gives 2(1)+1>5 =>3>5 which is false.

(1,2) x=1 and y=2 gives 2(1)+2>5 =>4>5 which is false.

(2,1) x=2 and y=1 gives 2(2)+1>5 =>5>5 which is false.

(2,2) x=2 and y=2 gives 2(2)+2>5 =>6>5 which is true.