Question

(x-5)(x+6) / (x-3) less than or equal to 0

Answer 1

Answer:

$\sqrt 27$

Step-by-step explanation:

(x-5)(x+6) / (x-3) less than or equal to 0

multiply both sides by x-3

(x-5)(x+6) less than or equal to (x-3)

Foil

x^2 + 6x -5x -30 less than or equal to x-3

simplify

x^2 + x -30 less than or equal to x-3

Add 30 to both sides and subtract x from oth sides

x^2 less than or equal 27

take a square root of both sides

x less than or equal to $\sqrt 27$