l 150p
Enter inequality for interval notation

Display the interval notation for:

150p≤3000

Interval Notation Definition:

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

Build interval notation

We get interval notation by saying 150p≤3000

Since our variable of p has a coefficient of 150
Divide each side of the inequality by 150

150p
150
  
3000
150

p≤20  ←Use this expression going forward

Inequality Sign Evaluation

You entered the ≤ sign

Build the interval notation for p:

Because you entered an equal sign
Translate to ] since we include the number 20

Based on the ≤ you entered,
the left side of the interval notation will extend to negative infinity,
which is denoted as -∞

Final Answer


(-∞,20]

Set Builder Notation for p:

{ p | p≤20 } where | denotes such that

Display the literal notation for p

∞,...,10,11,12,13,14,15,16,17,18,19,20