Question

PLEASE HELP. WILL GIVE A MEDAL.

Write a compound inequality to represent all of the numbers between -4 and 6.

Write your answer using proper set notation.

Answer 1

let's say x is your unknown number

Answer 2

x is between -4 and 6

if we include both -4 and 6, this means


x is either -4 or greater than -4, so, \(\Large x \ge -4\)

AND

x is either 6 or less than 6, so, \(\Large x \le 6\)

Answer 3

if you combine \(\Large x \ge -4\) and \(\Large x \le 6\), you get \(\Large -4 \le x \le 6\)

Answer 4

writing that in set notation will look like this

\[\Large \left\{x|x\in\mathbb{R}, -4 \le x \le 6\right\}\]

that basically says "x is a real number and it's between -4 and 6"

Answer 5

Thank you so much. c:

Answer 6

np