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

1.17+3.99a. you combine the terms with a to create 3.99 and the 1.17 stays because it has no like terms or a variable

Answer: b 2 = 1.

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.

therefore, b 2= 1.