# Given that -5≤x≤5 and -10≤y≤-2, find

• Oct 2nd 2011, 03:57 AM
FailInMaths
Given that -5≤x≤5 and -10≤y≤-2, find
Question:
Given that -5 ≤ x ≤ 5 and -10 ≤ y ≤ -2, find
(a) the smallest possible value of $3x-2y$,
(b) the greatest possible value of $y^2-x^2$

Is there any mathematical way to solve this?

Thanks
• Oct 2nd 2011, 04:24 AM
mr fantastic
Re: Given that -5≤x≤5 and -10≤y≤-2, find
Quote:

Originally Posted by FailInMaths
Question:
Given that -5 ≤ x ≤ 5 and -10 ≤ y ≤ -2, find
(a) the smallest possible value of $3x-2y$,
(b) the greatest possible value of $y^2-x^2$

Is there any mathematical way to solve this?

Thanks

By inspection:

3(-5)-2(-2) = ....

(-10)^2 - (0)^2 = ....
• Oct 2nd 2011, 05:12 AM
FailInMaths
Re: Given that -5≤x≤5 and -10≤y≤-2, find
Quote:

Originally Posted by mr fantastic
By inspection:

3(-5)-2(-2) = ....

(-10)^2 - (0)^2 = ....

Thanks