Answer with explanation:
Description about Number line:
→Number line with a closed circle on negative 2, shading to the left and a closed circle on 4, shading to the right.------(1)
⇒Taking the fragment of the above sentence,"till shading to left" and describing it in terms of Inequality
x ≤ -2-------(2)
x∈(-∞,-2]
And,Now writing another half of the sentence--(1) in terms of inequality,
x≥4---------(3)
x∈[4,∞)
Why i have ,taken equal to sign into consideration, the reason is that the two circles which are marked on -2 and 4, tells us that these points must be considered,while writing inequality
Combining ,(2) and (3),we get
⇒x less than or equal to −2 or x greater than or equal to 4
