This graph shows the solutions to the inequalities y> 3x + 14 and y< 3x + 2. Does the system of inequalities have solutions? If so, which region contains
the solutions?
A
B
10-8
-8.24
2
4
8
8
10
с
-9
- 10
C
A. There is a solution, and it is shown by region B.
B. There is a solution, and it is shown by region A.
u
0
C. There is no solution.
(
D. There is a solution, and it is shown by region C.

C. No Solutions

Step-by-step explanation:

A P E X

37

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15