Question

Statement-I: If $11x - 9 \le 68$, then $x\in \left(-\infty,\,7\right)$.
Statement-II: If an inequality consist of signs $\le$ or $\ge$, then the point on the line are also included in the solution region.

• A. If both Statement-I and Statement-II are true and Statement-II is the correct explanation of Statement-I
• B. If both Statement-I and Statement-II are true but Statement-II is not the correct explanation of Statement-I
• C. If Statement-I is true but Statement-II is false
• D. If Statement-I is false and Statement-II is true

Answer 1

Answer: (D)

We have, $11x - 9 \le 68$
$\Rightarrow \quad11x \le 77 \Rightarrow x \le\quad\therefore \quad 7x\in \left(-\infty,\,7\right)$
So, statement-I is false but statement-II is true.