Question

I need help asap please

Answer 1

THE CORRECT ANSWER IS C

Answer 2

Answer:

C

Step-by-step explanation:

Given the inequality

(x - 3)(x + 5) ≤ 0

Find the zeros by equating to zero

(x - 3)(x + 5) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 5 = 0 ⇒ x = - 5

Thus the domain is split into 3 intervals

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- ∞ < x ≤ - 5 → (1)

- 5 ≤ x ≤ 3 → (2)

3 ≤ x < + ∞ → (3)

Select a test point in each interval and check validity

x = - 10 → (- 13)(- 5) = 65 > 0 ← not valid

x = 0 → (- 3)(5) = - 15 < 0 ← valid

x = 10 → (7)(15) = 105 > 0 ← not valid

Solution is { x | - 5 ≤ x ≤ 3 }