Select the statements that are true based on the following given information. d = {x | x is a whole number} e = {x | x is a perfect square < 36} f = {x | x is an even number between 20 and 30} the expression d ∪ e = e. e ∪ (d ∩ f) is {25}. f ⊂ d (e ∩ f) is the empty set. set e is infinite.

D = {x | x is a whole number} = { 0, 1, 2, 3, 4, 5, ...}

E = {x | x is a perfect square < 36} = { 0, 1, 4, 9, 16, 25}

F = {x | x is an even number between 20 and 30} = { 22, 24, 26, 28}

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

ian gonna lie that is way to much