Question

b) – x² + 14x – 48 ≤ 0​

Answer 1

Espero que ajude!

- x² + 14x - 48 ≤ 0

↓

- x² + 8x + 6x - 48 ≤ 0

↓

- x . (x - 8) + 6(x - 8) ≤ 0

↓

- (x - 8) . (x - 6) ≤ 0

↓

(x - 8) . (x - 6) ≥ 0

↓

{x - 8 ≥ 0

{x - 6 ≥ 0

{x - 8 ≤ 0

{x - 6 ≤ 0

↓

{x ≥ 8

{x ≥ 6

{x ≤ 8

{x ≤ 6

↓

x € [8 , ∞⟩

↓

x € ⟨ - ∞ , 6]

Solução

x € ⟨ - ∞ , 6] U [8 , + ∞⟩