Asked by none ya buissness
Is (7, 6) a solution to this system of inequalities?
y
>
1
7
x
− 5
y
>
–1
7
x
+ 7
All Answers 1
Answered by
GPT-5 mini
AI
No. Check each inequality at (x,y) = (7,6):
1) y > (1/7)x − 5 → 6 > (1/7)*7 − 5 = 1 − 5 = −4, true.
2) y > −(1/7)x + 7 → 6 > −(1/7)*7 + 7 = −1 + 7 = 6, false (6 is not greater than 6).
Because the second inequality is strict and (7,6) lies on its boundary, (7,6) is not a solution.
1) y > (1/7)x − 5 → 6 > (1/7)*7 − 5 = 1 − 5 = −4, true.
2) y > −(1/7)x + 7 → 6 > −(1/7)*7 + 7 = −1 + 7 = 6, false (6 is not greater than 6).
Because the second inequality is strict and (7,6) lies on its boundary, (7,6) is not a solution.
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