write the set {x/ x< - 5 in interval notation

what is the correct interval

{x: x< - 5} can be written in interval notation as:

(-∞,-5)
meaning from -infinity to -5, but excluding the two limits, namely -infinity and -5.
It is also equivalent to {x: -∞<x<-5}

Solve. Write the final answer in interval notation: vertical line x minus 5 vertical line space greater or equal than space 10

To write the set {x/ x < -5} in interval notation, we need to find the interval that includes all the values of x that are less than -5.

Since x is less than -5, we can represent this interval as (-∞, -5), where the symbol "∞" represents negative infinity. This notation indicates that the interval starts at negative infinity and ends at -5, including all values less than -5.

To write the set {x | x < -5} in interval notation, you can represent it as (-∞, -5).

To understand why this is the correct interval notation, here's a step-by-step explanation:

1. Start with the inequality: x < -5.
2. The inequality symbol (<) indicates that x must be strictly less than -5.
3. In interval notation, the interval starts with an open parenthesis "(", which indicates that -∞ (negative infinity) is not included in the set.
4. The interval continues with -5, which represents the upper bound of the set.
5. The interval ends with a square bracket "]" or a round parenthesis ")" depending on whether or not the upper bound (-5) is included. Since x cannot be -5 as per the original inequality, we use a round parenthesis ")" to indicate that -5 is excluded from the set.
6. Putting it all together, we get (-∞, -5) as the interval representation of the set {x | x < -5}.

Thus, (-∞, -5) is the correct interval notation for the given set.