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which is the solution to the system of inequalities? y< 2x+7 and y <_-x+3

Sagot :

Panoyinidn
y < 2x + 7 ⇒ y₁ = 2x + 7
y ≤ -x + 3  ⇒ y₂ = -x + 3

 2x + 7 = -x + 3
+ x        + x      
 3x + 7 = 3
       - 7 - 7
       3x = -4
        3      3
         x = -1¹/₃
         y = 2x + 7
         y =  2(-1¹/₃) + 7
         y = -2²/₃ + 7
         y = 4¹/₃
   (x, y) = (-1¹/₃, 4¹/₃)
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