{ 6x+3y & gt; 24 ( 1)
{ 4x+5y & lt; 22 (2)
(1)×2 Available:12x+6y > 48 (3)
(2) Multiply both sides of the formula by -3 to get:
- 12x- 15y & gt; -66
Then:12x+6y+(-12x-15y) > 48+(-66)
That is-9y > - 18
So: y < 2
And (2) can be changed to:-4x-5y >; -22
Then: 6x+3y+(-4x-5y)>24+(-22) means 2x-2y >: 2.
So: x-y > 1 is x>1+y.
Yes: 2x-3y & gt;; 2( 1+y)-3y
That is 2x-3y >;; 2-y & gt; 0
So we know: 2x & gt3y
That is, the value of two pens is greater than the value of three pencils.