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Which point represents one solution of the system of inequalities below

3x+8y<=480
y-x<=20

A. (50,50)

B. (40,40)

C. (20,60)

D. (10,40)


Sagot :

Answer: B. (40,40)

Explanation:

Given Inequalities:

(i) 3x + 8y ≤ 480

(ii) y - x ≤ 20

For first inequality:

(a) y intercept: (0, 60)

(b) x intercept: (160, 0)

  • Plot this line with a solid line and shade below.

For second inequality:

(a) y intercept: (0, 20)

(b) x intercept: (-20, 0)

  • Plot this line with a solid line and shade below.

The point (40, 40) falls between these two inequalities.