Answer these 7 absolute value problems and get 10points:)?

Question

Please show the steps and check :) first one will get 10 points!

1.) -3|4x-9|=24

2.) |8+p|=2p-3

3.) 4|2y-7|+5=9

4.) 2|4-s|= -3s

5.) 5|2r+3|-5=0

6.) -3|0.5c+2|-|-0.5b|

7.) |2y-3|=29

explain them if you can. I REALLY need them for tomarrow.

Answer 1

isolate the absolute values

then

|C| = D

means .. . .

C = D or C = -D

(provided D is positive)

thus

1.

|4x - 9| = -8

no values for x will satisfy this

2.

|8 + p| = 2p - 3 .... it should be noted that p> 3/2

8 + p = 2p - 3 .. . .. . or .... 8 + p = -2p + 3

11 = p .. . .. . .. . .. . or 3p = -5

thus p = 11 (since the other value is going to be less than 3/2)

now, its your turn to try the rest