Display the interval notation for:

-4x<0

Interval Notation Definition:

An interval as a set of numbers.
Numbers = endpoints.

Build interval notation

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

Inequality Sign Evaluation

You entered the > sign

Build the interval notation for x:

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 +∞

Final Answer


(0,+∞)

Set Builder Notation for x:

{ x | x>0 } where | denotes such that

Display the literal notation for x

1,2,3,4,5,6,7,8,9,10,...,∞