Question

|x| + 5 = 18
5 or -5
13 or -13***

|y + 4| < 1
-5 < y < -3
-3 < y < 5***?
-4 < y < 1***?
1 < y < 4

|2t| - 5 = 7
t = 1 or -1
t = 6 or -6***
t = 10 or -10
t = 12 or -12

|a| -3/4 = -5/8
1/8 or -1/8
7/8 or -7/8
1 3/8 or -1 3/8
no solution

Please help!? Not good at this the least bit. Not sure on any of them. 2nd one im not sure if its b or c or if its neither. I don't even know where to begin on the last one. Sorry if i sound super stupid:( Please help! Thx in advance

Answer 1

whoops, i forgot to add the rest of the options for #1:

option #3 is, 18 or -18
and option #4 is, 23 or -23

thx

Answer 2

please help someone!??

Answer 3

The only one slightly difficult is #2

|y+4| < 1
then y+4 < 1 AND -y-4 < 1
y < -3 AND -y < 5
y< -3 AND y > -5
so -5 < x -3

in general, for inequalities, if you have
|some stuff| < k , then separate them with AND (the intersection)
|some stuff| > k, then separate them with OR (the union)
if k is negative, there would be no solution, since it would contradict the definition of |...|

your last one:
|a| - 3/4 = -5/8
|a| = 1/8
a = 1/8 or -1/8

your #1 and #3 are correct

Answer 4

thank you sooo much Reiny!:)
the second one was option 3 though. but don't worry, i mean that question was totally stupid.
thanks again!

Answer 5

Answers to test:
1.B
2.A
3.B
4.A

Answer 6

lun is correct 100% :3

Answer 7

lun is correct

Answer 8

lun is correct thx add me on snap

@mystic_wraps

Answer 9

Still correct, thanks!

Answer 10

lun is 100% answers:
b
a
b
a

Answer 11

lin is correct