COMEDK · Maths · 1. Basic of 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 \(x \in\left[\dfrac{11}{2}, \infty\right)\)
- D \(x \in\left(-\infty, \dfrac{11}{2}\right)\)
Answer & Solution
Correct Answer
(D) \(x \in\left(-\infty, \dfrac{11}{2}\right)\)
Step-by-step Solution
Detailed explanation
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. \(x \in \left(-\infty, \dfrac{11}{2}\right)\)
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