Question

Whats is the Interval Notation of x ≥1 or ≥-3

Answer 1

http://www.mathsisfun.com/sets/intervals.html
\(\bf x \ge 1\\
x \ge -3\)

notice you're using \(\bf \ge \) that means it will include the endpoint, so it'll be a solid dot there

Answer 2

This is what I got
[1,infinite)U(Infinite,-3}

Answer 3

you mean \(\bf \large (-\infty\quad , \quad q\quad -3) \cup (1\quad , \quad +\infty) \quad ?\)

Answer 4

{1,∞) U (∞,-3}

Answer 5

woops, I have an extra character there

Answer 6

hmmm \(\bf \large (-\infty\quad , \quad \quad -3) \cup (1\quad , \quad +\infty) \quad ?\) rather

Answer 7

well... ahemm... on the negative side of the line
as you get closer to the 0, the value of the negative amount is BIGGER
so -2 is really greater than -3

while 2 is lesser than 3 on the positive side

so \(\bf [-3\quad , \quad +\infty) \cup [1\quad , \quad +\infty)\\
\textit{then again, the 1st interval will cover the 2nd one}\\
\textit{so the 1st interval will suffice, that is }\large [-3\quad , \quad +\infty) \)

Answer 8

I think the answer shuld be {1,∞)U(∞,-3)

Answer 9

I see the infinity symbol there, but there are 2 infinities, + and -
do you mean the positive one?

Answer 10

Oh I got it

Answer 11

What about x ≥2 or x ≥-3 help me draw the number line and internal notation

Answer 12

anything that's greater than or equal to -3, is also greater than or equal to +2
so one can say \(\bf x \ge 2\qquad x \ge -3\\ \quad \\
[-3\quad , \quad +\infty)\cup [2\quad , \quad +\infty) \implies
[-3\quad , \quad +\infty)\)

Answer 13

Thanks ..

Answer 14

what about plotin this on a number line [−3,+∞)u[1,+∞)

Answer 15

if you notice the interval for that one, is the same graph