Question

Solve the following inequality: –1 > –2(x – 4) – 5(4x – 7).

A. x > 8
B. x > 2
C. x < 2
D. x > –23

Answer 1

answer is B. x > 2
hope it helps

–1 > –2(x – 4) – 5(4x – 7)
–1 > –2x + 8 – 20 x + 35
–1 > -22x + 43
22x > 44
x > 44/22
x > 2

Answer 2

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