Question

solve the inequality, please explain too

2|4x+1|-5<1

Answer 1

2|4x+1|-5<1
8x+2-5<1
8x-3<1
8x<1+3
8x<4
now divide both side by 8
x=0.5 answer

Answer 2

thats what i know how to solve it is it right?

Answer 3

Looks correct to me, also quick question, could I instead of adding 1+3, do this:
8x-3<1
+3 +3
8x=4
=0.5

Answer 4

yes correct.

Answer 5

both would always give the right answer?

Answer 6

usually it means that what you do on one side you have to do it on another side.

Answer 7

2|4x+1|-5<1
|8x + 2| < 6
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8x + 2 = 0
8x = -2
x = -1/4 for x >= 0

-(8x + 2) = 0
-8x = 2
x = -1/4 for x < 0

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2|4x+1|-5<1
|8x + 2| < 6

i
(8x + 2) < 6
8x < 4
x < 1/2

ii
-(8x + 2) < 6
-8x - 2 < 6
-8x < 8
-x < 1
x > -1

So the answer is -1 < x < 1/2