Question

Write the solution in interval notation (I already graphed it)

Answer 1

Given the inequality:

`x\le-6`

You can identify that the symbol of the inequality is:

`\le`

It means "Less than or equal to".

To write the solution in Interval Notation, it is important to remember the following:

1. You must use parentheses when a value is not included.

You can identify when a value is not included because the inequality has one of the following symbols:

`\begin{gathered} < \\ > \end{gathered}`

2. You must use square brackets when a value is included.

You can identify this when the inequality has one of these symbols:

`\begin{gathered} \ge \\ \le \end{gathered}`

In this case, you can identify that -6 is included.

Since "x" is less or equal to -6, there is no endpoint to the left of -6. It goes indefinitely to the left of that number.

Therefore, knowing the explained before, you can write the solution in Interval Notation as follows:

`\mleft(-\infty,-6\mright]`

Hence, the answer is:

`\mleft(-\infty,-6\mright]`