Question

Which inequality is equivalent to |x-4|<9

Answer 1

Answer with explanation:

The Given Inequality is

  |x-4|<9

Modulus of a number yields always a positive value.

→|x-4|= x-4, when, x-4≥0

                     That is , x≥4.

         = -(x-4), when, x-4<0

                    means, x<4.

     it can be Written as

 → -9<x-4<9

→ -9+4 < x -4+4 < 9+4

→ -5<x<13

→x∈(-5,13)

Answer 2

The answer is –9 < x – 4 < 9

option B in edg.

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