Give an example that shows why you need to reverse the sign when dividing or multiplying an inequality by a negative number.

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this is hard

2 < 3 ⇒ -2 > -3

Step-by-step explanation:

∵ 2 < 3

If we divide each side by -1

∴ -2 < -3 but it's not true

∴ we must reverse the sign of inequality

∴ -2 > -3

similar:

∵ 25 > 20

If we divide each side by -5

∴ -5 > -4 it's not true

∴ we must reverse the sign of inequality

∴ -5 < -4

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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