Answer:
See below.
Step-by-step explanation:
It can really help to think when you see |expression| that it means the distance from expression to zero.
(a)  |x| < 7  means the distance from  x  to 0 is less than 7.  That puts  x  between -7 and 7.  The solution set is  -7 < x < 7.
(b)  |x + 3| < 9 means that the distance from x + 3 to 0 is less than 9.  That puts x + 3 between -9 and 9:
-9 < x + 3 < 9   Now subtract 3 from all three parts.
-12 < x < 6
(c)  |y - 8| > 11 means that the distance from y - 8 to 0 is more than 11 units.  That puts  y - 8 in one of two places:  left of -11 or right of 11.
 
 
(g)   means that the distance from 3x - 1 to 0 is more than (or equal to)  18.  Another way to say it is, 3x - 1 is farther from 0 than 18 units.  That puts  3x - 1 in one of two places:  to the left of -18 or to the right of 18.
 means that the distance from 3x - 1 to 0 is more than (or equal to)  18.  Another way to say it is, 3x - 1 is farther from 0 than 18 units.  That puts  3x - 1 in one of two places:  to the left of -18 or to the right of 18.

 means that 4y + 3 is closer to 0 than 13;  it is between -13 and 13.
  means that 4y + 3 is closer to 0 than 13;  it is between -13 and 13.

(That last fraction is 10/4 simplified.)
 
        
                    
             
        
        
        
The first decimal place has the digit 0
the second decimal place has the digit 7
the third decimal place has the digit ....either 1 or 2. 
this depends on the forth one, if it was 5 or higher, the third digit would be 2 
since the fourth digit is 3, which is lower than 5, we don't have to change the third digit : it remains a "1"
so the answer is 0.071
        
                    
             
        
        
        
Answer:
x = 24
Step-by-step explanation:
1/6 x + 3 = 7
1/6 x = 4
x = 24
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation: 4848474838387398437939743927938<em>5</em>