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Is (–3, –10) a solution to this system of inequalities? y ≥ 7x − 2 y < 4x + 7

User Mit
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1 Answer

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Answer:

No, it is not a solution

Explanation:

Given the inequality y ≥ 7x − 2 and y < 4x + 7, they can be combined and written as;

7x-2≤y<4x+7

Equate both values of y, the point of intersection occurs when;

7x-2 = 4x+ 7

7x - 4x = 7 + 2

3x = 9

x = 9/3

x = 3

Substitute x = 3 into y = 7x - 2

y = 7(3) - 2

y = 21 - 2

y = 19

Hence the possible solution will be at (3, 19). Hence the solution (-3, -10) is incorrect

User Vees
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