Question

What is the solution set of {x | x < 2} u {x | x ≥ 2}?

Answer 1

Interesting notation, sorry It doesn't seem familiar to me @Shadow @dude

Answer 2

a) the empty set
b) all numbers less than -2 and greater than 2
c) all real numbers
d) the numbers between -2 and 2

these are my options

Answer 3

\( \{x~ | ~x < 2\}\)
Just refers to \(x < 2\)

\( \{x~ |~ x ≥ 2\}\)
Just means \(x\ge 2\)

\(\cup\) means union (combine both sets)

On a number line you'd have
{... -2, -1 , 0, 1} and {2, 3, 4, 5...}


You just have to combine both sets

Answer 4

so it would be B right?

Answer 5

Hmm no

\(\{x~ |~ x < 2\}\) is numbers less than 2

Answer 6

If you were to "add" these sets you'd have something like
\(\{... -2, -1 , 0, 1\color{red}{\}}\), \( \color{red}{ \{}2, 3, 4, 5...\}\)
\(\{... -2, -1 , 0, 1, 2, 3, 4, 5...\}\)

Answer 7

(s)he also shoulda said \( { (x \in \mathbb R : x \lt 2 ) } \) for the 1st part

Answer 8

Awh, @mxddi3 and @Imagine are good at these.

Answer 9

Simple Ans is:

-> \( x \in \mathbb{R} \)

aka, the whole numberline