What is the solution set of \ x|x<-3\ cap\ x|x>5\ ?

Let set A = {x|x<-3}

Let set B = {x|x>5}

The solution for set A could be graphically represented with a number line that contained an unshaded circle surrounding the integer -3 and all values to the left or less than -3 would be shaded.

The solution for set B could be graphically represented with a number line that contained an unshaded circle surrounding the integer 5 and all values to the right of 5 or greater than 5 would be shaded.

If you placed the two number lines close to each other, you would see that they do not intersect.

Thus there is no solution for the intersection of set A and set B as defined in the given problem.

Step-by-step explanation: