Question

Solve: `-5 ("x" + 4) > 30 ; "x" ∈ "Z"`

Answer 1

−5 (x + 4) > 30

`=> (-5("x" + 4))/-5 < 30/-5` ...(Dividing by -5)

Note: Division by a negative number reverses the equality.

⇒ x + 4 < −6

⇒ x + 4 − 4 < − 6 − 4  ...(Subtracting 4)

⇒ x < −10

∴ Required answer = {−11, −12, −13, ...}