Test Index

Linear Inequalities

Question : 23 of 54

Marks: +1, -0

The shaded region OAEC belongs to the constraint ]

Solution:

Concept:

The shaded region OAEC is bounded by the axes and the lines

3x+y=9

and

x+2y=8

, and lies below both lines and above the axes.

Explanation:

The region includes the origin

(0,0)

, which satisfies

3(0)+0=0 \leq 9

and

0+2(0)=0 \leq 8

Points inside OAEC, like

(1,1)

, also satisfy

3(1)+1=4 \leq 9

and

1+2(1)=3 \leq 8

Thus the inequalities are

3x+y \leq 9

x+2y \leq 8

, and

x \geq 0

y \geq 0

This corresponds to option B.

Answer:

Option B

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