We have, 3x+8>2
Adding −8 on both sides, 3x+8−8>2−8 ⇒3x>−6
Dividing by 3 on both sides, ⇒33x>3−6 ⇒x>−2
(i) When x is an integer, the solution of the given inequality is {−1,0,1,2…}.
(ii) When x is a real number, the solution of the given inequality is (−2,∞). i.e., all the numbers lying between −2 and ∞ but −2 and ∞ are not included.