the sum of anumber x and twice another is 20.if the product of these numbers is not more than 48 , whate are all possible values of x?

2 Answers

one number —- x

the other number — y

the other number — y

x + 2y = 20

x = 20-2y or y = (20-x)/2

xy ≤ 48

(20-2y)(y) ≤ 48

-2y^2 + 20y – 48 ≤ 0

y^2 – 10y + 24 ≥ 0

(y-6)(y-4) ≥ 0

y ≤ 4 OR y ≥ 6

(20-x)/2 ≤ 4 OR (20-x)/2 ≥ 6

20-x ≤ 8 OR 20-x ≥ 12

-x ≤ -12 OR -x ≥ -8

x ≥ 12 OR x ≤ 8

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