Which of the following is the solution of the given inequality 6x + 7 ≤ x - 28, where x is a natural number?

Correct option is A

​$$\begin{aligned}&\text{We are given the inequality:} \\&6x + 7 \leq x - 28 \\[10pt]&\text{Subtract } x \text{ from both sides:} \\&5x + 7 \leq -28 \\[10pt]&\text{Subtract 7 from both sides:} \\&5x \leq -35 \\[10pt]&\text{Divide by 5:} \\&x \leq -7 \\[15pt]&\textbf{Final Step: Check the domain} \\[5pt]&\text{We are told that } x \text{ is a natural number, but:} \\&x \leq -7 \\[10pt]&\text{This implies that there is \textbf{no natural number} satisfying this condition because natural numbers are:} \\&\mathbb{N} = \{1, 2, 3, 4, \dots\}\end{aligned}$$​​