- #1

highcontrast

- 13

- 0

## 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)

x

^{5}- x

^{2}> 0

x

^{2}(x

^{3}- 1) > 0

x

^{2}(x - 1)(x

^{2}+ 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