Question

For what values of x does the binomial 5x+3 belongs to the interval (−6; −2)?

Answer 1

Answer:

$-1.8$   (In Interval Notation: $(-1.8,-1)$ )

Step-by-step explanation:

Given the following binomial:

$5x+3$

You know that if this binomial is in the interval:

 $(-6, -2)$

It must be:

$-6$

Therefore, in order to find for what values of "x" the binomial  $5x+3$ belongs to the given interval, you need to solve the inequality.

Then, you get:

$-6$

Now, you can write this in Interval notation.

Since it is an Open Interval, you must use parentheses. Then, this is:

$(-1.8,-1)$