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Question

Given that y = -6x + 1 and 3<x<23.
Then, in which of the following intervals does the value of y lie? 


  1. (-19, 3)
  2. (-3,19)
  3. (18, -4)
  4. (3, 19)


Solution

The correct option is B (-3,19)

Given that, 
3<x<23.

3(6)>x.(6)>23(6).
18>6x>4

Now adding 1 to the inequality, we get 
19 > -6 x + 1 > - 3

i.e., 19 > y > -3

Thus, y(3,19)

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