Vianas2009 Vianas2009

27-04-2015
Mathematics

Answered

Solve the system of inequalities by graphing 3x-y>-1
2x+y>5

Answer :

Panoyin Panoyin

27-04-2015

   3x - y > -1
3x - 3x - y > -1 - 3x
   -y > -1 - 3x
      y > 1 + 3x

   2x + y > 5
2x - 2x + y > 5 - 2x
   y > 5 - 2x

   1 + 3x > 5 - 2x
      + 2x + 2x
   1 + 5x > 5
   - 1 - 1
   5x > 4
      5    5
   x > 0.8
1 + 3(0.8) > 5 - 2(0.8)
   3(0.8) - y > -1
   2.4 - y > -1
   - 2.4 - 2.4
      -y > -3.4
   y > 3.4
   (x, y) > (0.8, 3.4)

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