Question

Which is the solution set to the given inequality?
|x + 3| < 12
2x+6>8

Answer 1

|x+3| < 12

either

x+3 < 12 , - (x+3) < 12

x < 9 , x+3 > -12 , x > -15

9 > x > -15

Answer 2

2x + 6 > 8
2x > 2
x > 1

Answer 3

Solving this inequalities is similar to solving normal equation it only differs when you divide over a negative constant you've to flip the sign.

Absloute value gives you both +, -

Answer 4

@TrojanPoem

Answer 5

@snowblaze

Answer 6

9 > x > -15 (1st) , x > 1 (2nd)

Answer 7

\[x \in (-15, 9)\] , \[x \in (1, \infty)\] , I don't think I am helping you like this.