Answer:
-7 < x < 6
Step-by-step explanation:
Add 1 to all parts of the inequality:
-8 +1 < x -1 +1 < 5 +1
-7 < x < 6
Answer:
The solution is, x ∈ (-7, 6)
Step-by-step explanation:
Given compound inequality,
−8 < x − 1 < 5
⇒ −8 < x − 1 and x − 1 < 5
⇒ -8 + 1 < x and x < 5 + 1 ( a < b, a - c < b - c ∀ a, b, c ∈ R )
⇒ -7 < x and x < 6
⇒ x is all real numbers greater than -7 and less than 6.
⇒ x ∈(-7, ∞) and x ∈(-∞, 6)
⇒ x ∈ (-7, ∞) ∩ (-∞, 6)
⇒ x ∈ (-7, 6)
