Display the interval notation for:
-4x<0
An interval as a set of numbers.
Numbers = endpoints.
We get interval notation by saying -4x<0
Since our variable of x has a coefficient of -4
Divide each side of the inequality by -4
Since -4 < 0
Reverse our sign from < to >
-4x | |
-4 |
> |
0 |
-4 |
x>0 ←Use this expression going forward
You entered the > sign
No equal sign translates to (.
Do not include the number 0
Based on the > you entered,
the right side of the interval notation will extend to positive infinity,
which is denoted as +∞
{ x | x>0 } where | denotes such that
1,2,3,4,5,6,7,8,9,10,...,∞