Question

Could someone check these questions for me? Please? My answers are under the questions...
Questions~
1. Solve:

| x | = 6

|6|=6 and |-6|=6

x must be 6 or -6

2. Solve:

| x + 7 | = 12

(x+7)=12 and -(x+7)=12

x+7=12 and -x-7=12

x= 5 and -19=x

The the solution is x = {–19, 5}

3. Solve:

| 3x - 4 | = 32

(3x-4)=32 and -(3x-4)=23

3x+4=32 and -3x+4=32

X=12 and x= -28/3

the solution is x = {-28/3, 12}

4. Solve:

5|2x + 1 | = 55

Divide both side by 5: |2x+1|=6.111111111111111

2x+1=6.111111111111111
+1 +1
2x = 7.11111111111
X=7
and
2x+1= -6.111111111111111
+1 +1
2x = -5.11111111111 x=-6

the solution is x = {-6, 7}

These questions I couldn't figure out could you please show me how to do them?
5. Solve:
1/2|4x – 8| - 7 = 3


6. Evaluate the given expressions when a = 3, b = -3, c = 4, and d = -1.
c|a-b| + d


7. Evaluate the given expressions when a = 3, b = -3, c = 4, and d = -1.
a|b-d| + ad



8. Evaluate the given expressions when a = 3, b = -3, c = 4, and d = -1
(a/c)|c| + b – d

Answer 1

#1, #2 ok

#3
your connective should be OR
how can a number be 12 and -28/3

#4
5|2x + 1 | = 55
|2x + 1 | = 11
2x+1 = 11 OR -2x-1 = 11
2x = 10 or -2x = 12
x = 5 or x = -6

5. Solve:
1/2|4x – 8| - 7 = 3
5. Solve:
1/2|4x – 8| = 10
5. Solve:
|4x – 8| = 20
4x-8 = 20 or -4x + 8 = 20
x = 7 or x = -3


a = 3, b = -3, c = 4, and d = -1

#6
c|a-b| + d
= -1|3 - (-3)|
= -1|6) = -6

#7
a|b-d| + ad
= 3|-3-(-1)| + 3(-1)
= 3(2) - 3
= 3

You do the last one in the same way

Answer 2

okay! Thank you so much!!