Question

How do I write x≤-5; (-∞, -5 ) on a number line? Draw it to explain.

Answer 1

first, draw the x-axis
then write -∞ on the left-most portion of the number line
then from the center, mark -5 to the left, then use "]" or a closed circle ● then extend a line all the way to the left

Answer 2

your interval notation is incorrect though
it is properly written as (-∞, -5]

Answer 3

you see it says less than or equal to, so that means -5 is included therefore you use ] or close circle ●

Answer 4

Thank you.

Answer 5

Why do I use ] instead of ) ?

Answer 6

Intervals can never be closed with a [ or ] on -infinity or +infinity. They're left open with ( or ).