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Anika [276]
3 years ago
8

The inequality 2x - 3y ≥ 5 is satisfied by point (1/2,1/3 ). True False

Mathematics
2 answers:
vovangra [49]3 years ago
7 0

For this case we evaluate the following inequality in the given point and verify if it is met:

2x-3y\geq  5

(x, y) = (\frac {1} {2}, \frac {1} {3})

Substituting:

2 \frac {1} {2} -3 \frac {1} {3}\geq5

1-1\geq 5\\0\geq 5

It is not fulfilled!

The point does not satisfy the inequality

ANswer:

False

Stels [109]3 years ago
3 0

Answer:

False

Step-by-step explanation:

(1/2, 1/3) ⇒ x = 1/2 and y = 1/3

Substitute these values in the given equation;

   2x - 3y ≥ 5

  2(1/2) - 3(1/3) ≥ 5

   \frac{2}{2}  -   \frac{3}{3}

= 1 - 1 = 0

Thus the inequality is not satisfied by the given points, since 0 < 5 and ≠ 5.

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