Search any question & find its solution
Question:
Answered & Verified by Expert
If $x$ is an integer and satisfies $9 < 4 x-1 \leq 19$, then $x$ is an element of which one of the following sets?
Options:
Solution:
2012 Upvotes
Verified Answer
The correct answer is:
$\{3,4,5\}$
Given, $9 < 4 x-1 \leq 19$
$\Rightarrow 9 < 4 x-1$ and $4 x-1 \leq 19$
$\Rightarrow 9+1 < 4 x$ and $4 x \leq 19+1$
$\Rightarrow x>\frac{5}{2}$ and $x \leq 5$
$\therefore x \in\{3,4,5\}$
$\Rightarrow 9 < 4 x-1$ and $4 x-1 \leq 19$
$\Rightarrow 9+1 < 4 x$ and $4 x \leq 19+1$
$\Rightarrow x>\frac{5}{2}$ and $x \leq 5$
$\therefore x \in\{3,4,5\}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.