Question

Help! Will give brainliest and 5 stars rating and thanks

Answer 1

Answer:

x < -4 or x > 8

On a number line, make two arrows:

1) going towards left from -4 with an open circle at -4

2) going towards right from 8 with an open circle at 8

Step-by-step explanation:

l -4 +2x l -3 > 9

l -4 +2x l > 12

l 2x - 4 l > 12

2x - 4 > 12

2x > 16

x > 8

-2x + 4 > 12

-2x > 8

x < -4

On a number line, make two arrows:

1) going towards left from -4 with an open circle at -4

2) going towards right from 8 with an open circle at 8

Answer 2

Answer:

see below

Step-by-step explanation:

l -4 +2x l -3 > 9

Add 3 to each side

l -4 +2x l -3+3 > 9+3

l -4 +2x l  > 12

We Separate into two inequalities, remembering to flip the negative inequality

 -4+2x>12        or            -4+2x<-12    

Add 4 to each side

  -4+4+2x>12+4   or                  -4+4+2x<-12 +4

2x> 16                      or                     2x< -8

Divide each side by 2

2x/2 > 16/2                  or              2x/2 < -8/2

x > 8    or                                x < -4

To graph we have open circles at 8 going to the right and at -4 going to the left