Question

A=[−3;4), B={−3;4} A×B B×A

Answer 1

А $\times$В=[-3 $\times$-3;4 $\times$4]
В*А тоже самое

Answer 2

To interpret the given notation, I'll assume that A and B are sets of real numbers.

A=[-3;4) represents a closed interval that includes all real numbers greater than or equal to -3 and less than 4. The interval includes -3 but does not include 4.

B={-3;4} represents a set that contains two distinct elements: -3 and 4.

Now, let's calculate the Cartesian product of A and B (A × B) and the Cartesian product of B and A (B × A):

1. A × B: The Cartesian product of two sets A and B is the set of all possible ordered pairs (a, b) where a is an element of A and b is an element of B.

A × B = {(-3, -3), (-3, 4), (4, -3), (4, 4)}

2. B × A: Similarly, the Cartesian product of B and A is the set of all possible ordered pairs (b, a) where b is an element of B and a is an element of A.

B × A = {(-3, -3), (-3, 4), (4, -3), (4, 4)}

Notice that A × B and B × A have the same elements. This is a general property of the Cartesian product – the order of the sets does not matter.

To summarize, A × B and B × A are both equal to {(-3, -3), (-3, 4), (4, -3), (4, 4)}.