Question

Which of the following points is a solution to the system of linear inequalities?

Answer 1

Answer:

C. (5, 3)

Step-by-step explanation:

this point is within the answer area... look below at the graph of both linear inequalities

Answer 2

For this case we have the following system of inequations:

$y\leq2x-5\\y> -3x$

We must replace each of the points and verify that the inequalities are met:

Point A: (1,1)

$1 \leq2 (1) -5\\1 \leq2-5\\1 \leq-3$

It is not fulfilled!

Point B: (-2,2)

$2 \leq2 (-2) -5\\2 \leq-4-5\\2 \leq-9$

It is not fulfilled!

Point C: (5,3)

$3 \leq2 (5) -5\\3 \leq10-5\\3 \leq5$

Is fulfilled!

$3> -3 (5)\\3> -15$

Is fulfilled!

Point D: (-4,4)

$4 \leq2 (-4) -5\\4 \leq -8-5\\4 \leq -13$

It is not fulfilled!

Thus, the point that is the solution of inequalities is:

(5,3)

ANswer:

(5,3)