the sum of anumber x and twice another is 20.if the product of these numbers is not

QuestionsCategory: Mathsthe sum of anumber x and twice another is 20.if the product of these numbers is not
Sandy Spencer asked 4 months ago
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
Sandy Spencer answered 4 months ago
one number —- x
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

Sandy Spencer answered 4 months ago
{X:xless than or equal to 8}U{x: x is geater than or equal to 12}