Answer :
|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
(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
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.