Question

Select the graph that would represent the best presentation of the solution set.

Answer 1

Answer:

-2 > x > 8

Step-by-step explanation:

given that,

|2 x - 6| > 10

mod means the value will be positive when mod is solved.

it can be written as

± (2 x - 6) > 10

i) (2 x - 6) > 10

      2 x > 16

        x > 8

ii) -(2 x - 6) > 10

     -2 x +6 > 10

        - x > 2

           x < -2

hence , -2 > x > 8

Shaded portion shows the required area.

Answer 2

|2x + 6| > 10
(2x + 6) > 10      -(2x + 6) > 10
  2x + 6 > 10        -2x - 6 > 10
       - 6    - 6              + 6   + 6
       2x > 4                 -2x > 16
        2     2                  -2     -2
        x > 2                     x > -8