Solve the inequality for x. show each step of the solution. 10x> 8(3x-2)-12

x < 2

Step-by-step explanation:

Given

10x > 8(3x - 2) - 12 ← distribute parenthesis on right side

10x > 24x - 16 - 12, that is

10x > 24x - 28 ( subtract 24x from both sides )

- 14x > - 28

Divide both sides by - 14, reversing the inequality symbol as a result of dividing by a negative quantity.

x < 2

irrational, cannot

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0