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screwalgebra101 screwalgebra101
  • 17-03-2015
  • Mathematics
Answered

Graph the system of linear inequalities


2x-2y<6

X-y<9

Verified Answer :

Panoyin
Panoyin Panoyin
  • 17-03-2015

2x - 2y < 6
2x - 2x - 2y < 6 - 2x
-2y < 6 - 2x
 -2        -2
 y < -3 + x
2x - 2(-3 + x) < 6
2x + 6 - 2x < 6
2x - 2x + 6 < 6
0x + 6 < 6
       -6  -6
      0x < 0
       0     0
       x < 0
2(0) - 2y < 6
0 - 2y < 6
+0        +0
    -2y < 6
     -2    -2
       y < -3
(x, y) < (0 -3)

x - y < 9
x - x - y < 9
-y < 9
y < -9
x + 9 < 9
     -9    -9
     x < 0
0 - y < 9
+0      +0
   y < 9
(x, y) < (0, 9)

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