Question

Which inequality is equivalent to X-4 <9?

Answer 1

Answer: x <13

Step-by-step explanation:

X - 4 < 9

+4 +4

X < 13

Answer 2

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)

♡ Hope it helps♡