Which value of x is a solution to the inequality 4x+6>-x+41

x>7

Step-by-step explanation:

First, you take away 6 from both sides, which gives you 4x>-x+35. Then you add x to both sides, which makes it 5x>35. Divide both sides by 5, and you get x>7

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)