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

a.(1,-5)
b.(1,5)
c.(5,1)
,5)

Step-by-step explanation:

Put the coordinates of the points to the each inequality, and check the inequality:

A. (1, -5)

y < -3x + 3

-5 < - 3(1) + 3

-5 < -3 + 3

-5 < 0     CORRECT

y < x + 2

-5 < 1 + 3

-5 < 3      CORRECT

B. (1, 5)

y < -3x + 3

5 < -3(1) + 3

5 < -3 + 3

5 < 0     FALSE

C. (5, 1)

y < -3x + 3

1 < -3(5) + 3

1 < -15 + 3

1 < -12     FALSE

D. (-1, 5)

y < -3x + 3

5 < -3(-1) + 3

5 < 3 + 3

5 < 6      CORRECT

y < x + 2

5 < -1 + 2

5 < 1      FALSE

step-by-step explanation:

it's is b

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1