Easy   for what values of y does the binomial 3y−5 belong to the interval (−1; 1)?

3y-5 = -1

3y=4

y = 4/3

3y-5 = 1

3y = 6

y = 2

y must be between 4/3  and 2

y must be between 1  1/3 and 2

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Step-by-step explanation:

We are given that a binomial

We have to find the value of y for which binomial belongs to the interval (-1,1).

In order to find the value of y we will substitute binomial equal to zero.

When we substitute then binomial belongs to given interval because 0 lies between -1 and 1.

If substitute

Then, we get

When we substitute then we get

If the value of y lies between and 2 then the binomial belongs to interval (-1,1).

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