how do you slove the inequality.....?

Question

1/3 - x/6 < 4 please show work if you can

Answer 1

1/3 - x/6 < 4

2/6 - x/6 < 24/6

2 - x < 24

-x < 22

hence, x > -22

Answer 2

1/3 - x/6 < 4

-x/6 < 4 - 1/3

-x < (11/3)*6

-x< 22

(remember, when u change the negative on the left, u have to flip the inequality:)

x>22

so the answer is, any # greater than 22

Answer 3

1/3 - x/6 < 4

((1/3)*2/2) - x/6 < 4

2/6 - x/6 < 4

(2 -x)/6 < 4

((2-x)/6) * 6 < (4 * 6)

2 - x < 24

-x < 22

x > -22

Answer 4

First, subtract 1/3 from both sides, so it looks like,

-x/6<4-1/3

Then solve the one side,

-x/6<11/3 (I work in improper fracs by the way)

Then change it to,

-x/6<22/6 (cause it's easier to work with)

Then Multiply both sides by 6,

-x<22

Then divide the -1 (in an inequality, the sign reverses if you divide
by a negative)

x>-22

And Voila! You have your answer!

Answer 5

(1/3) - x/6 < 4
-x/6 < 3 (2/3)
-x < (3 (2/3))*6
-x < 22
x > -22

Answer 6

put 6 in commun denominator :
2/6 - x/6 <24/6
Multiply all by 6
2-x < 24
so -x < 22
x > 22

Answer 7

Multiply both sides by 6
2-x < 24
Subtract 2 from both sides
-x<22
Divide or multiply sides by -1 (switch the direction of the sign)
x>-22 viola!

Answer 8

2/6-x/6<24/6
-x/6<24/6-2/6=22/6
-x<22
x>22