The given inequation is
1
/
3
x + 5 ⩽ 6 + 11x
Or,
1
/
3
x − 11x ⩽ 6 − 5
Or, [
1 − 33
/
3
]x ⩽ 1
Or,
− 32
/
3
x ⩽ 1
Or, x ⩾
− 3
/
32
≈ − 0.1
The solution set of the given inequation is { }x: x ⩾
− 3
/
32
, x ∈ R. On a number line, this solution set is represented as below:
Therefore, option (c) is correct.