Solution of a linear inequality in variable x is represented on the number line as shown in the given figure.
Question:
Solution of a linear inequality in variable x is represented on the number line as shown in the given figure. The solution can also be described as.png)
(a) $x \in(-\infty, 5)$
(b) $x \in(-\infty, 5]$
(c) $x \in[5, \infty)$
(d) $x \in(5, \infty)$
Solution:
Since, number line representing solution does not include 5.
But, include every value after 5
∴ Solution can be described by
x ∈ (5, ∞)
Hence, the correct answer is option D.