Question

How would you write that the domain includes every real number above and including -1 but not including 6? either set or interval will work Thanks :) :)

Answer 1

we have the union of two sets here,
between -1 and 6, and above 6
let's start with the first part
the set of numbers between two numbers a and b including a but excluding b is
[a,b[
so what would the set of numbers above and including -1 , and below 6 ?

Answer 2

[-1,6) or \[-1\le x <6\] right?

Answer 3

correct

for the second part , the set of numbers greater than a number a can be represented by

x > a
or
(a,∞) or ]a,∞[

Answer 4

so how can we represent numbers above 6 ?

Answer 5

x > 6
or
\[(6,\infty)\]

Answer 6

correct
to join to sets we use U
so we get
[-1,6) U (6,∞)

Answer 7

and then can you write it like:
Domain =\[\left\{ x \in \mathbb{R}: [-1,6) U (6,\infty) \right\}\]

Answer 8

Thank You!