Question

solution set of inequation given by -11<_4x-3<_13 is ? (1) (-2,4) (2) [-11,13] (3) [-2,4] (4) [-8,16]​

Answer 1

Step-by-step explanation:

f(-1) = 0

|f’(x)| ≤ 2

-2 ≤ f ’(x) ≤ 2

Using Lagrange mean value theorem:

Since value of f (-1) = 0 is given, we take the interval [-1, 2], i.e.

-2 ≤ f’(x) ≤ 2

-6 ≤ f(2) ≤ 6

We observe that the option 2 satisfies this condition.