17.02.2022 the following question

# Determine the relationship between the point (1, –5) and the given system of inequalities. y ≤ 3x + 2 y > –2x – 3 Explain your answer both algebraically and graphically. 17

17.02.2022, solved by verified expert

The point is not a solution for both inequalities, so the point is not a solution for the system of inequalities.

Step-by-step explanation:

To find the relationship of the point and the system of inequalities, let's use the value of the point (x and y values) in the inequalities:

First inequality: y ≤ 3x + 2

Using x = 1 and y = -5, we have:

-5 ≤ 3*1 + 2

-5 ≤ 3 + 2

-5 ≤ 5 (True)

Second inequality: y > –2x – 3

Using x = 1 and y = -5, we have:

-5 > -2*1 - 3

-5 > -2 - 3

-5 > -5 (False)

The point is not a solution for both inequalities, so the point is not a solution for the system.

Graphically, the point is not inside the area generated by the system of inequalities (check the image attached). ### Faq

Mathematics
Y ≤ 3x + 2
y > -2x - 3

At point (1, -5): -5 ≤ 3(1) + 2
-5 ≤ 5

-5 > -2(1) - 3
-5 > -2 - 3
-5 is not greater than -5.

Point (1, -5) is not a solution to the system of inequalities.
Mathematics

The answer is in the image Mathematics

The answer is in the image Mathematics

25 PAGES IN 30 MINUTES

1 PAGE IN 30/25

SO 200 PAGE IN 30/25*200 = 240 MINS

SO, HE WILL READ 200 PAGE IN 240 MIS i.e 4 hours

Mathematics

The answer is in the image Mathematics

The answer is in the image Mathematics The answer is in the image

Mathematics

The solution is in below image Mathematics  