Q117 / 180 · COMEDK 2025 (10 May Shift 2) · Mathematics
The inequality representing the following graph is
- A$x \in\left(-\infty, \dfrac{11}{2}\right]$
- B$x \in\left(\dfrac{11}{2}, \infty\right)$
- C$x \in\left[\dfrac{11}{2}, \infty\right)$
- Correct answerD$x \in\left(-\infty, \dfrac{11}{2}\right)$
Solution
The number line shows an open circle at 5.5 with shading extending to the left, meaning all values strictly less than 5.5 are included.
$5.5 = \dfrac{11}{2}$
So the inequality is $x < \dfrac{11}{2}$, i.e. $x \in \left(-\infty, \dfrac{11}{2}\right)$
$5.5 = \dfrac{11}{2}$
So the inequality is $x < \dfrac{11}{2}$, i.e. $x \in \left(-\infty, \dfrac{11}{2}\right)$
Hence, the correct answer is option: 'D'.