Solve the following inequality: –1 > –2(x – 4) – 5(4x – 7).
a. x > 8
b. x > 2
c. x < 2
d. x > –23

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality : 

                -1-(-2*(x-4)-5*(4*x-7))>0 

Step by step solution :Equation at the end of step  1  : -1-((0-(2•(x-4)))-5•(4x-7)) > 0 Step  2  :Equation at the end of step  2  : -1-((0-2•(x-4))-5•(4x-7)) > 0 Step  3  :Step  4  :Pulling out like terms :

 4.1     Pull out like factors :

   22x - 44  =   22 • (x - 2) 

Equation at the end of step  4  : 22 • (x - 2) > 0 Step  5  :

 5.1    Divide both sides by  22 

Solve Basic Inequality : 5.2    Add  2  to both sides

 x > 2

Inequality Plot : 5.3    Inequality plot for

22.000 X - 44.000 > 0

One solution was found :                   x > 2     100% sure

The correct awnser is 29.76 pounds.