Respuesta :
For this case we evaluate the following inequality in the given point and verify if it is met:
[tex]2x-3y\geq 5[/tex]
[tex](x, y) = (\frac {1} {2}, \frac {1} {3})[/tex]
Substituting:
[tex]2 \frac {1} {2} -3 \frac {1} {3}\geq5[/tex]
[tex]1-1\geq 5\\0\geq 5[/tex]
It is not fulfilled!
The point does not satisfy the inequality
ANswer:
False
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
[tex]\frac{2}{2}[/tex] - [tex]\frac{3}{3}[/tex]
= 1 - 1 = 0
Thus the inequality is not satisfied by the given points, since 0 < 5 and ≠ 5.