SOLUTION: determine if the given pairs are solutions of the following system of inequalities 1. x+y > 3 x-y< 3 (2,6) 2. 2x-15y>8 x-3 < -2 ( 10,-2) 3. x+y > 4 y-x

Algebra ->  Inequalities -> SOLUTION: determine if the given pairs are solutions of the following system of inequalities 1. x+y > 3 x-y< 3 (2,6) 2. 2x-15y>8 x-3 < -2 ( 10,-2) 3. x+y > 4 y-x      Log On


   

Question 1187715: determine if the given pairs are solutions of the following system of inequalities
1. x+y > 3
x-y< 3 (2,6)
2. 2x-15y>8
x-3 < -2 ( 10,-2)
3. x+y > 4
y-x> 2 (3,8)
4. 5x >y
2y
5. 3x+y>7
2x-5y<-1 (-5,7)














Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

1.
x%2By+%3E+3
x-y%3C+3+
(2,6)
2%2B6+%3E+3=>8%3E3-> true
2-6%3C+3+=>-4%3C3-> true
=>(2,6) IS solution of the system

2.
2x-15y%3E8
x-3+%3C+-2
( 10,-2)
2%2A10-15%28-2%29+%3E8=>20%2B30+%3E8=>50+%3E8-> true
10-3+%3C+-2=> 7%3C-2-> false
=> ( 10,-2) is not solution of the system

3.
x%2By+%3E+4
y-x%3E+2

(3,8)
3%2B8+%3E+4=> 11%3E4-> true
8-3%3E+2 =>5%3E2-> true
=> (3,8) IS solution of the system
4.
5x >y
2y ???????????????
5.
3x%2By%3E7
2x-5y%3C-1
(-5,7)
3%28-5%29%2B7%3E7+=>-15%2B7%3E7 =>-8%3E7-> false
2%28-5%29-5%2A7%3C-1=>-10-35%3C-1 => -45%3C-1-> true
=? (-5,7) is not solution of the system