Let be two sets E and F such that:E = {x € R: -4 ≤ x ≤ 4}F = x € R: What is the Cartesian product of the complement of E × F =?

Question

Let be two sets E and F such that:E = {x € R: -4 ≤ x ≤ 4}F = = xWhat is the Cartesian product of the complement of E × F =?

Answer 1

Given:

`\begin{gathered} E=\mleft\lbrace x\in\mathfrak{\Re }\colon-4\leq x\leq4\mright\rbrace \\ F=\mleft\lbrace x\in\mathfrak{\Re }\colon\lvert x\rvert=x\mright\rbrace \end{gathered}`

If |x|=x that mean here x is grater then zero.

E is move -4 to 4 and F is grater then zero that mean multiplication of the function is obtaine all real value:

`E* F=\mleft\lbrace x\in\mathfrak{\Re }\mright\rbrace`