Solve x - 1/3 (Greater than or equal to sign pointing left) 1/2

Choose from here:
x (Greater than or equal to sign wide part pointing right) 1/6
x (Greater than or equal to sign wide part pointing left) 1/6
x (Greater than or equal to sign wide part pointing right) 5/6
x (Greater than or equal to sign wide part pointing left) 5/6

To solve for x, we'll compare the given inequality with the options provided.

The given inequality is: x - 1/3 ≤ 1/2

Now let's compare each option with the given inequality:

Option 1: x ≥ 1/6
Substituting this into the inequality, we have: x - 1/3 ≥ 1/6
This is not the same as the given inequality, so this option is incorrect.

Option 2: x ≤ 1/6
Substituting this into the inequality, we have: x - 1/3 ≤ 1/6
This is not the same as the given inequality, so this option is incorrect.

Option 3: x ≥ 5/6
Substituting this into the inequality, we have: x - 1/3 ≥ 1/2
This is the same as the given inequality, so x ≥ 5/6 is a valid solution.

Option 4: x ≤ 5/6
Substituting this into the inequality, we have: x - 1/3 ≤ 1/2
This is not the same as the given inequality, so this option is incorrect.

Therefore, the correct solution is x ≥ 5/6.