1 Answer

Dom Day · Answer 1 · 2023-09-15T02:45:56+0000

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:

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

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