Question

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

Answer 1

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

Answer 2

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.