Question

2 |d+5| - 1 < 3 please show the work

Answer 1

2 |d+5| - 1 < 3  

Start by adding 1 to  both sides...

2 | d + 5 | <  4 

Divide both sides by 2 

|  d +  5 |  <   2 

Now make to sections...

d + 5 <  2  or   d +  5 >   - 2
    
Subtract both sides 5 


d  <  - 3  or  d >  - 7 is the answer

Or you can write is as - 7 < d < - 3

Answer 2

2(|d+5|)−1<3

Lets break this down using the order of operations.
Step 1: Add 1 to both sides.2(|d+5|)−1+1<3+12(|d+5|)<4
Step 2: Divide both sides by 2.2(|d+5|)2<42|d+5|<2
Step 3: Solve Absolute Value.
If you don't know what the absolute value is then...Wow|d+5|<2We knowd+5<2andd+5>−2d+5<2(Condition 1)d+5−5<2−5(Subtract 5 from both sides)d<−3d+5>−2(Condition 2)d+5−5>−2−5(Subtract 5 from both sides)d>−7
Answer:d<−3 and d>−7