Question

The product of two consecutive even numbers exceeds twice their sum by more than 20. Which of the following is the range of values that the smaller (x) of the numbers can take?
X>4 or X<-6
-6<x<4
x>6 or x<-4
-4<x<6
​

Answer 1

Answer:

$x > 6 \: or \: x < - 4$

Step-by-step explanation:

Let the smaller of the numbers be x. The greater number = x+2

x(x+2)>[2(x+ x+ 2)] +20

x²+ 2x>4x + 4 + 20

x² −2x−24>0

(x−6)(x+4)>0

The smaller is positive as the greater is negative.

That is x>6 or x<−4.

Hence, option C is correct.