Answers

2014-08-01T19:51:55+05:30
2014-08-01T20:13:40+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Solution set is the set of all values of x, which satisfy the given condition.
 | 2 x + 1 | > 5
 Let  a = | 2 x + 1 |     
then  a =  2 x + 1    if  2x+1 is positive or zero
           =  - 2x -1    if  2x+1 is negative of zero
Let 2x+1 be 0 or more.
   so  2x + 1 > 5       =>   2x > 5 - 1 = 4    =>   2x > 4    =>    x > 2
Let 2x+1 be 0 or less
  so - 2 x - 1  > 5    =>  -2 x  > 6      =>  -x  > 3    =>  x <  -3
                     (as When you multiply by -1, the inequality reverses.)

So we have    x > 2  and x < -3.
Answer is option C

There is also a quicker way:
       |2x+1| > 5      =>  this is rewritten as
    -5 >  2x+1  > 5    Left side gives, x < -3 & right side gives x >2

0