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

(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

∈ (5, ∞)

Hence, the correct answer is option D.

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