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somebody want to help me with my math?


bluehuricane

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i had a take home quiz today that i put off until now... it's only 4 questions so i don't want to get any of them wrong. if anyone could help me, i'd be eternally greatful.

 

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Solve the inequalities below. For each, show the solution set three ways: as reduced inequalities, R line graph, in interval notation. For each of #3 and #4, first state and use teh supporting generalitiy established in class to resolve the absolute value (clear steps) and produce a compound linear inequality. Express the final solution set in the usual three ways.

 

1. (x-3)(x+3) is less than or equal to (x+5)^2

 

 

 

 

2. -3/2-5x is less than or equal to 0

 

 

 

 

3. |-3x+2|

 

 

 

4. |5x-3| is less than or equal to 9 First, state the supporting generality for resolving the absolute value.

 

 

thanks to anyone who tries to help, i really appreciate it.

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exactly, a year ago it would've been a breeze. i did this all in high school... i've actually worked through most of the problems, i just want someone to give me something i can confirm them with.

 

 

I was in a math class last year at this time doing those questions, and I rocked at them, but I can't even remember the first step in doing them now. Wish I could.

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1. (x-3)(x+3) is less than or equal to (x+5)^2


(x-3)(x-3)= X^2-6X+9


(X+5)^2= (X+5)(X+5)


(X+5)(X+5)= X^2+10X+25


X^2-6X+9

Therefore, (x-3)(x+3) is less than (x+5)^2


I {censored}ing hate math.

 

 

 

thanks a lot, would what you just showed me be as reduced inequalities? do you know interval notation? i have the line graph covered.

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1. (x-3)(x+3) is less than or equal to (x+5)^2


(x-3)(x-3)= X^2-6X+9


(X+5)^2= (X+5)(X+5)


(X+5)(X+5)= X^2+10X+25


X^2-6X+9

 

 

I don't think that's really what the question was, and it isn't true anyway.

Proof:

 

suppose x = 1

then (1-3)(1+3) = -2 * 4 = -8

and (1+5)^2 = 6^2 = 36

 

suppose x = -6

then (-6-3)(-6+3) = -9 * -3 = 27

and (-6+5)^2 = -1^2 = 1

 

I'm tired and I'm not sure this is right, but here's what I can work out right now:

 

(x-3)(x+3)

x^2-9

-9

-34

-3.4

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