Graphing inequalities
k < -3

Step-by-step explanation: So when graphing this problem, we start at -3 on our number line with an open dot because k is less than but not equal to -3. I have shown this in the image attached below.

We then draw an arrow going to the left to represent all number less than -3.

Finally, we put our answer in set notation which is shown below.

{K: k < -3}

All this means is that if we take any number less than -3, this will be a solution for the inequality k < -3.

answer: 25 is the correct answer

step-by-step explanation:

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)