Question

WILL MARK AS BRAINLIEST
Consider the following sets.

U = {ordered pairs on a coordinate plane}
A = {ordered pair solutions to y = x}
B = {ordered pair solutions to y = 2x}

Which ordered pair satisfies A ∩ B?

(1, 1)

(2, 1)

(1, 2)

(0, 0)

Answer 1

Answer:

(0,0)

Step-by-step explanation:

let's see what each of the statements mean

1. statement about u is not required in this case
2. statement about 'A' states that all the ordered pairs ie. co-ordinates of the line y=x
3. statement about B says that all co-ordinates on the line y=2x

Considering second and third statement, we need to find a solution which satisfies both the equations y=x and y=2x,

if we substitute the values of (x,y) in both the lines....

we see that both the equations give the same results when the point is (0,0) as,

x=y ie. 0=0 for the point (0,0)

y=2x ie. 0= 2×0 ie. 0=0

So both the lines intersect at the point (0,0)

Thanks

Hope you understand.... and it helps

varunshastry05