Question

Inequations involved in the given region are____________

(a) 2x+y≥6, x≥0, y≥0

(b) 2x+y>6, x≥0, y≥0

(c) 2x+y<6, x≥0, y≥0

(d) 2x+y≤6, x≥0, y≥0

I got this question in a job interview.

The origin of the question is Graphical Solution of Linear Variable in Two Variables topic in section Linear Inequalities of Mathematics – Class 11

Answer 1

Right option is (d) 2x+y≤6, x≥0, y≥0

To explain I would say: Since region involves 1^st quadrant so x≥0, y≥0.

Two points on line are (0,6) and (3,0).

(y-6)/(0-6) = (x-0)/(3-0)

=>(y-6)/(-6) = x/3

=>y-6=-2x => 2x+y=6

2x+y≤6 since (0,0) should also satisfy.

So, 2x+y≤6, x≥0, y≥0.