Display the interval notation for:
3i≤24
Interval Notation Definition:
An interval as a set of numbers.
Numbers = endpoints.
Build interval notation
We get interval notation by saying 3i≤24
Since our variable of i has a coefficient of 3
Divide each side of the inequality by 3
| 3i | |
| 3 |
| ≤ |
| 24 |
| 3 |
i≤8 ←Use this expression going forward
Inequality Sign Evaluation
You entered the ≤ sign
Build the interval notation for i:
Because you entered an equal sign
Translate to ] since we include the number 8
Based on the ≤ you entered,
the left side of the interval notation will extend to negative infinity,
which is denoted as -∞
Set Builder Notation for i:
{ i | i≤8 } where | denotes such that
Final Answer
(-∞,8]
(-∞,8]
(-∞,8]
