Given conditions x+y ≥ 5, x+y ≤ 5,0 ≤ x ≤ 4 and 0 ≤ y ≤ 2 then the common region under these conditions is

Correct Answer is : Line segment CD

Correct Answer is : Line segment CD

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Linear Inequalities

Question : 42 of 54

Marks: +1, -0

x+y \geq 5, x+y \leq 5,0 \leq x \leq 4

0 \leq y \leq 2

then the common region under these conditions is

Solution:

Concept:

The conditions

x+y \geq 5

and

x+y \leq 5

together imply

x+y = 5

, so the region is the line segment where

x+y=5

lies inside the rectangle defined by

0 \leq x \leq 4

and

0 \leq y \leq 2

Explanation:

The intersection of

x+y \geq 5

and

x+y \leq 5

is the line

x+y = 5

The rectangle constraints

0 \leq x \leq 4

and

0 \leq y \leq 2

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