Consider the following system of inequalities below.

line 1: 3y< 2x+18

line 2: -4y< -x+12

which of the following points are in the solution set? select all that apply.

a. (-4, -3)

b. (1, 6)

c. (2, 4)

d. (5, -5)

e. (3, 2)

Option A, B, C

(-4, -3) and (1, 6) and (2, 4) is a solution to given system of inequalities

Solution:

Given system of inequalities are:

Line 1 : 3y < 2x + 18

Line 2 : -4y < -x + 12

Let us substitute the given solution set in options and check if it satisfies both the inequalities

Substitute x = -4 and y = -3 in Line 1

-9 less than 10 is true

Substitute x = -4 and y = -3 in Line 2

12 less than 16 is true

Thus (-4, -3) is a solution to given system of inequalities

Substitute x = 1 and y = 6 in line 1

18 less than 20 is true

Substitute x = 1 and y = 6 in line 2

-24 is less than 11 is true

Thus (1, 6) is a solution to given system of inequalities

Substitute x = 2 and y = 4 in line 1

12 is less than 22 is true

Substitute x = 2 and y = 4 in line 2

-16 less than 10 is true

So, (2, 4) is a solution to given system of inequalities

Substitute x = 5 and y = -5 in line 1

-15 is less than 28 is true

Substitute x = 5 and y = -5 in line 2

20 less than 7 is not true

Thus (5, -5) is not a solution to given system of inequalities

Substitute x = 3 and y = 2 in line 1

6 less than 24 is not true

Thus (3, 2) is not a solution to given system of inequalities

this was already solved by me with a different person. if you look it up in the search bar at the top of the page, you will get the answer.

step-by-step explanation: