what is x/3 + 5x/6 < or equal to 2/3 solve for x?

x/3+5x/6<= 2/3,, Answer is x is lesser or equal to 4/7

x/3 + 5x/6 <= 2/3
2x/6 + 5x/6 <= 4/6
(2x + 5x) / 6 <= 4/6
2x + 5x <= 4
7x <= 4
x <= 4/7

x/3 + 5x/6 <= 2/3

1/6 ( 2x +5x ) <= 2/3

7x < = 2/3 * 6

7x <= 4

x <= 4/7

x/3 + 5x/6 <= 2/3
2x/6 + 5x/6 <= 4/6
7x/6 <= 4/6
7x <= 4
x <= 4/7

x/3 + 5x/6 <= 2/3

multiply both sides by 6
2x+5x <= 4
7x <= 4
x <= 4/7

2x/6 + 5x/6 <= 2/3
6x + 15x < = 12
21x < = 12
x < = 12/21
x < = 4/7 = 0.571428571....

x/3 + 5x/6 ≤ 2/3
2x + 5x ≤ 4
7x ≤ 4
x ≤ 4/7

x/3+5x/6 ≤ 2/3
x/3+5x/6-2/3 ≤ 0
Taking LCM ( here, 6)
2x+5x-4/6 ≤0
7x-4/6 ≤0
Adding 4/6 on both sides
7x/6 ≤ 4/6
Multiplying 6 on both sides
7x ≤ 4
x ≤ 4/7

420

x/3 + 5x/6 <=2/3

Simplify the left side (you should know how to add fractions):
7x/6 <= 2/3

Now you need to cross multiply. In inequalities, when you cross multiply or divide, the sign changes (< becomes > and vice versa)
21x >= 12
Bring the 21 under 12. Again, the sign changes.
x <= 12 / 21
x <= 4/7

(x/3)+(5x/6)<=2/3
7x/6<=2/3
21x<=12
x<=12/21