# 3 math problems I cannot figure out! But you can!?

Question:I can't figure out how to SHOW WORK to get the answer for these:

1. x(x+6) > -8

2. |x-1| = x-1

3. |x+2| + |x-5| greater or equal to 10

Please help me... I've only got tomorrow to finish this stuff.

1. x²+6x+8 > 0
(x+2)(x+4) > 0
so, x > -2, or x > -4

2. | x - 1 | = x -1
since the absolute value always gives a positive result or zero, then x must be greater than or equal to 1.

3. | x + 2 | + | x + 5 | >= 10
-10 >= ( x + 2 + x + 5 ) >= 10
-10 >= 2x +7 >= 10
-17 >= 2x >= 3
-17/2 >= x >= 3/2 <-- (answer!)
You shouldn't have other people do your homework for you... try coolmath.com

Hints:
1) Distribute X, add 8 to both sides, and then factor for X.
Your correct answer will be x = 2 and 4, then rewrite it for the inequality.

2 and 3) Remember to rewrite the equation twice, once to solve for the positive absolute answer and the other to solve for the possible negative answer.

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