anonymous
  • anonymous
Can somebody help me? I've tried to solve this problem and I just can't manage to get the right answer: |7x + 2| > -2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
true for all x by inspection absolute value is positive, so it is always bigger than -2
anonymous
  • anonymous
how do you write it like a < x < b or something like that?
anonymous
  • anonymous
i keep getting x > 0

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anonymous
  • anonymous
and x < 4/7
anonymous
  • anonymous
it is all real numbers x can be anything. do not try to solve this using algebra. absolute value of anything is always greater than or equal to 0, so it must be always greater than -2. it doesn't matter what you put in for x, positive number or negative number
anonymous
  • anonymous
oh
anonymous
  • anonymous
\[(-\infty,\infty)\]
anonymous
  • anonymous
wait, why is one of the infinity symbols negative if x is always greater than or equal to 0?
anonymous
  • anonymous
what satellite means by (-inf,inf) is that you can plug any x value into the inequality, you can plug in -20000, 200, 3,4, -5, it dosent matter, you will still get a value greater than or equal to zero
anonymous
  • anonymous
i still don't understand why, if you plug in a negative number, it comes out to be greater than or equal to zero
anonymous
  • anonymous
beacuse of the absolute value, you see the absolute value guarantees you that the value you get out will be positive or zero, it cannot be negative

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