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