Question -
Answer -
Let ‘r’ be a positive real number and ‘a’ be a fixed real number. Then,
|x + a| > r ⟺ x > r – a or x < – (a + r)
Here, a = 1/3 and r = 8/3
x > 8/3 – 1/3 or x < – (8/3 + 1/3)
x > (8-1)/3 or x < – (8+1)/3
x > 7/3 or x < – 9/3
x > 7/3 or x < – 3
x ∈ (7/3, ∞) or x ∈ (–∞, -3)
∴ x ∈ (–∞, -3) ∪ (7/3, ∞)