- #1
highcontrast
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Homework Statement
1) x^5 > x^2
2) 7| x + 2 | + 5 > 4
3) 3 - | 2x + 4 | <= 1
Homework Equations
The Attempt at a Solution
1)
x5 - x2 > 0
x2(x3 - 1) > 0
x2(x - 1)(x2 + x + 1) > 0
Im not too sure what to do next. I can't factor it any further, at least I don't think so. Which leads me to ask how exactly am I suppose to find the numbers to check what the solution is?
2)
7| x + 2 | + 5 > 4
7| x + 2 | > -1
|x + 2 | > -1/7
Can this be correct? The absolute value must always equal 0, or a positive number, right? How would I go about solving this? Or should I say the solutions do not exist?
3)
3 - | 2x + 4 | <= 1
- | 2x + 4 | <= -2
| 2x + 4 | => 2
2x + 4 => 2
2x => -2
x => -1
or
2x + 4 <= -2
2x <= -6
x <= -3
is this the right answer?
Thanks for your time