Question

If A, B are the line segments given by the intervals (-4, 3) and (-2,3) respectively,
represent the cartesian product of A and B.​

Answer 1

given :-

If A, B are the line segments given by the intervals (-4, 3) and (-2,3) respectively,

represent the cartesian product of A and B.

solution :-

if these intervals lie on the same line , then

let A = (-4,3) and B = (-2,3)

Now ,

A×B = (-4,3) × (-2,3) = (-12 , 9 )

because

-4 × 3 = -12 which is the minimum value to get

3 × 3 = 9 which is the maximum value to get

if the intervals do not lie on the same line then , in set building notation

A × B = {(a,b) : a € A b € B } = {(a,b):

a € (-4 ,3) b € (-2,3)}

hence ,

1. when intervals lie on same line than A×B =(-12,9)
2. when the interval do not lie on the same line A × B = {(a,b) : a € A b € B } = {(a,b):a € (-4 ,3) b € (-2,3)}

Answer 2

Answer:

hope it helps you

Step-by-step explanation:

soo min here