Question

Fill in the blank so that the resulting statement is true. In interval notation (- infty,-1] represents the set of real numbers-1.

Answer 1

Step-by-step explanation:

We are given the set of real numbers in interval notation as follows;

`(-\infty,-1]`

We are required to identify the numbers that belong in this interval.

Note that the left side has a parenthesis, while the right side has a bracket.

The parenthesis means the number is excluded from the set, while the bracket indicates that the number is included in the set.

The numbers here includes all real numbers from negative infinity all the way to negative 1. The negative 1 is an inclusive member of this set.

This means;

`\begin{gathered} All\text{ real numbers less than or equal to }-1 \\ x\leq-1 \end{gathered}`

ANSWER:

`\begin{gathered} In\text{ interval notation }(-\infty,-1] \\ represents\text{ the set of real numbers,} \\ Less\text{ }than\text{ }or\text{ }equal\text{ }to\text{ }-1 \end{gathered}`