2v + 11 > 4v - 7 -16

solve for v
for 50 points

I dont really understand the question or what the answer might me so I am going to try my best!

Final result :

 1          

 — = 0.50000

 2          

Step by step solution :

Step  1  :

           2v - 6

Simplify   ——————

           v + 2

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  2v - 6  =   2 • (v - 3)

Equation at the end of step  2  :

 (((v2)+v)-12)   2•(v-3)

 ————————————— ÷ ———————

 (((v2)+6v)+8)     v+2  

Step  3  :

           v2 + v - 12

Simplify   ———————————

           v2 + 6v + 8

Trying to factor by splitting the middle term

3.1     Factoring  v2 + v - 12

The first term is,  v2  its coefficient is  1 .

The middle term is,  +v  its coefficient is  1 .

The last term, "the constant", is  -12

Step-1 : Multiply the coefficient of the first term by the constant   1 • -12 = -12

Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   1 .

     -12    +    1    =    -11

     -6    +    2    =    -4

     -4    +    3    =    -1

     -3    +    4    =    1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  4

                    v2 - 3v + 4v - 12

Step-4 : Add up the first 2 terms, pulling out like factors :

                   v • (v-3)

             Add up the last 2 terms, pulling out common factors :

                   4 • (v-3)

Step-5 : Add up the four terms of step 4 :

                   (v+4)  •  (v-3)

            Which is the desired factorization

Trying to factor by splitting the middle term

3.2     Factoring  v2+6v+8

The first term is,  v2  its coefficient is  1 .

The middle term is,  +6v  its coefficient is  6 .

The last term, "the constant", is  +8

Step-1 : Multiply the coefficient of the first term by the constant   1 • 8 = 8

Step-2 : Find two factors of  8  whose sum equals the coefficient of the middle term, which is   6 .

     -8    +    -1    =    -9

     -4    +    -2    =    -6

     -2    +    -4    =    -6

     -1    +    -8    =    -9

     1    +    8    =    9

     2    +    4    =    6    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  2  and  4

                    v2 + 2v + 4v + 8

Step-4 : Add up the first 2 terms, pulling out like factors :

                   v • (v+2)

             Add up the last 2 terms, pulling out common factors :

                   4 • (v+2)

Step-5 : Add up the four terms of step 4 :

                   (v+4)  •  (v+2)

            Which is the desired factorization

Canceling Out :

3.3    Cancel out  (v+4)  which appears on both sides of the fraction line.

Equation at the end of step  3  :

 (v - 3)   2 • (v - 3)

 ——————— ÷ ———————————

  v + 2       v + 2  

Step  4  :

         v-3       2•(v-3)

Divide  —————  by  ———————

        (v+2)       (v+2)

4.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

v - 3      2 • (v - 3)        v - 3         v + 2  

———————  ÷  ———————————   =   ———————  •  ———————————

(v + 2)       (v + 2)         (v + 2)     2 • (v - 3)

Canceling Out :

4.2    Cancel out  (v - 3)  which appears on both sides of the fraction line.

Canceling Out :

4.3    Cancel out  (v + 2)  which appears on both sides of the fraction line.

Final result :

 1          

 — = 0.50000

 2    

I think that is the answer but I am not sure so I hope that helps!!!

nope.   happens to me as well.

-aparri