Question

Express the interval using two different representations. (−∞,−6]

Answer 1

Interval simply represent the set of numbers containing all numbers between any two numbers.

The representations of $(-\infty, -6]$ are $\{x| x \in R, x \le -6 \}$ and $x \le -6$

From the question, we have:

$(-\infty, -6]$

The above representation is in interval notation.

The interpretation is that;

The highest number in the interval is -6

The equivalent using set notation is:

$\{x| x \in R, x \le -6 \}$

The equivalent using inequalities is:

$x \le -6$

Read more about intervals at:

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