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

The values of x for which the binomial 5x+3 belongs to the interval (−6; −2) is given as;

(-1.8; -1)

According to the question, the binomial function 5x + 3 belongs to the interval (-6; -2).

In essence the values of the function lies between -6 and -2.

Mathematically; we have;

The values of x for which the binomial 5x + 3 belongs to the interval (-6; -2) is given as an inequality;

OR

Put differently, this can be written as;

(-1.8; -1)

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  (In Interval Notation: )

Step-by-step explanation:

Given the following binomial:

You know that if this binomial is in the interval:

It must be:

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

Then, you get:

Now, you can write this in Interval notation.

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

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step-by-step explanation:

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