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Masja [62]
3 years ago
12

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

Mathematics
2 answers:
scoundrel [369]3 years ago
7 0

Answer:

y\in(\frac{4}{3},2)

Step-by-step explanation:

We are given that a binomial

3y-5

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.

3y-5=0

3y=5

y=\frac{5}{3}

When we substitute y=\frac{5}{3} then binomial belongs to given interval because 0 lies between -1 and 1.

If substitute3y-5=-1

Then, we get 3y=-1+5=4

y=\frac{4}{3}

When we substitute 3y-5=1 then we get

3y=1+5=6

y=\frac{6}{3}=2

If the value of y lies between \frac{4}{3} and 2 then the binomial belongs to interval (-1,1).

kati45 [8]3 years ago
3 0

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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