Question

Which of the following points lie in the solution set to the following system of inequalities?

y < -3x + 3
y < x + 2

Answer 1

answer choices please

Answer 2

oh sry i forgot

Answer 3

(1, -5)
(1, 5)
(5, 1)
(-1, 5)

Answer 4

just a matter of subbing in your points to see which ones are true. The solution set will make each line correct.

y < -3x + 3
y < x + 2

(1,-5)...x = 1 and y = -5

-5 < -3(1) + 3
-5 < -3 + 3
-5 < 0 (true)

-5 < 1 + 2
-5 < 3 (true)

solution is (1,-5)

Answer 5

Thanks Can you help me with another

Answer 6

I can try

Answer 7

ok

Choose the graph below that represents the following system of inequalities:

y greater than or equal to -3x + 1

y greater than or equal to 1 over 2x + 3

Answer 8

y >= -3x + 1
y int = (0,1)
x int = (1/3,0)
slope = -3
shaded above the line...solid line

y >= 1/2x + 3
y int = (0,3)
x int = (6,0)
slope = 1/2
shaded above the line....solid line

I think it is the 2nd one but let me check by taking 2 points in the shaded region
(2,1)

y >= -3x + 1
1 >= -3(2) + 1
1 >= -6 + 1
1 >= -5 (correct)

Its the 2nd one

Answer 9

thank you

Answer 10

wait.....I think I messed up....I am going with the 1st one

Answer 11

there shaded above the line...so its the first one