anonymous
  • anonymous
Can someone explain to me how to solve this? Which of the following points lie in the solution set to the following system of inequalities? y ≤ x - 5 y ≥ -x - 4 A. (-5, 2) B. (5, -2) C. (-5, -2) D. (5, 2)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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agreene
  • agreene
plug and chug would be the easiest way. the points are given in: (x,y) form, so you can plug them in for the equations, only one set will work on both
anonymous
  • anonymous
I was thinking B
agreene
  • agreene
For the case of B): (5,-2) eqn 1: 2 ≤ 5-5 2 ≤ 0 <--- not true, can't be B. For the case of C: (-5,-2) eqn 1: -2 ≤ -5 - 5 -2 ≤ -10 <--- not true, can't be C As it happens, this also rules out A and D. the actual roots for this system are: x= 1/2; y =-9/2 and x>1/2; -x-4≤y≤x-5

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anonymous
  • anonymous
Wait? So, whats the answer? You ruled all of the answers out?
anonymous
  • anonymous
and you made a mistake on the first equation, its suppose to be a negative 2, not positive.
anonymous
  • anonymous
how am I suppose to answer it if all of the answer choices are wrong? this is confusing? lol
agreene
  • agreene
indeed i did, -2 ≤ 0 is true, y ≥ -x - 4 -2 ≥ -5 -4 -2 ≥ -9 is also true, I'm dumb, sorry... B is correct.
anonymous
  • anonymous
haha its okay, I do it all the time, hahaha :D Thanks for your help! :)

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