Which points are solutions to the system of inequalities shown below? Check
all that apply
y< x
y> 5
x>2
A.(-3,8)
B.(7,5)
C.(8,6)
D.(9,7)
E.(6,6)
F.(3,2)

The points (8 ,6) and (9 , 7) are solutions of the system of inequalities ⇒ C and D

Step-by-step explanation:

Let us study each inequality and find the right solutions

∵ x > 2

∴ The x-coordinates of the points are 3, 6, 7, 8, 9

- That means answer A is out because its x-coordinate not greater

  than 2 ⇒ (-3 , 8)

∵ y > 5

∴ The y-coordinates of the points are 6, 7, 8

- That means answers B and F are out because y-coordinates

   of them not greater than 5 ⇒ (7 , 5) , (3 , 2)

∵ y < x

∴ The x-coordinate of the point is greater than the y-coordinate

- That means answer E is out because its x-coordinate is equal to

   the y-coordinate ⇒ (6 , 6)

∴ The points are (8 , 6) and (9 , 7) because their x-coordinates

   are greater than 2, their y-coordinates are greater than 5 and

    their y-coordinates are less than their x-coordinates

The points (8 ,6) and (9 , 7) are solutions of the system of inequalities

6 goldfish

Step-by-step explanation:

step 1

Find the volume of the fish tank

we know that the volume of a sphere is

we have

---> the radius is half the diameter

assume

substitute

step 2

we know that

It is recommended to have no more than 1 goldfish for every 693 cubic inches of water

so

using proportion

Find out how  many goldfish should Tyler buy for 4,187 cubic inches of water