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Detailed explanation of mathematical inequality exercises in senior one.
Analysis: If the value of a pen is X yuan and the value of a pencil is Y yuan, then the inequality can be listed:

{ 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.