Question

Which point is in the solution set of the given system of inequalities?

Answer 1

C. (0,3)

Explanation:

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Answer 2

(1/5, 9/5)

Explanation:

Given the set of inequities

x+y>2..... 1

4x-y≥-1 .... 2

We are to get the solution point (x,y)

Solving simultaneously

From 1:

x>2-y

Substitute into 2

4(2-y)-y≥-1

4(2)-4y-y≥-1

8-5y≥-1

-5u ≥-1-8

-5y ≥-9

y≤9/5

Since x>2-y

x>2 - 9/5

x>1/5

Hence the required point is (x,y) = (1/5, 9/5)