Question

If 3y + x > 2 and x + 2y ≤ 3, What can be said about the value of y?

Answer 1

Answer:y€[-3+x/2,-2+x/3)U(2-x/3,3-x/2]

Step-by-step explanation: We have,

3y+x>2 & x+2y<=3,

so, from 3y+x>2we have, y>2-x/3 so taking this as equestion no. 1,

and from x+ 2y<=3 we have, y<=3-x/2 again taking this as equestion no. 2,

so assuming a= 2-x/3 & b= 3-x/2

then, we get, a<y<=b

now,

on putting the value of a & b in a<y<=b we get,

2-x/3<y<=3-x/2

therefore y € [-3+x/2,-2+x/3)U(2-x/3,3-x/2]