Proving Simple Theorem: Homework Statement, Equations, and Attempt at Solution

[ainster31]

Homework Statement

Homework Equations

The Attempt at a Solution

$$Counter-example:\quad let\quad a=-1\quad and\quad b=-2.\\ \\ -1\quad <\quad \frac { -3 }{ 2 } <-2$$

I have to prove it but it seems like the question is wrong.

 

[Dick]

Homework Statement

Homework Equations

The Attempt at a Solution

$$Counter-example:\quad let\quad a=-1\quad and\quad b=-2.\\ \\ -1\quad <\quad \frac { -3 }{ 2 } <-2$$

I have to prove it but it seems like the question is wrong.

You need a<b. -1 isn't less than -2.

 

[Ray Vickson]

Homework Statement

Homework Equations

The Attempt at a Solution

$$Counter-example:\quad let\quad a=-1\quad and\quad b=-2.\\ \\ -1\quad <\quad \frac { -3 }{ 2 } <-2$$

I have to prove it but it seems like the question is wrong.

If you draw a number line, with positive numbers on the right and negative numbers on the left, the statement a < b means that 'a' lies to the left of 'b' on the number line. Is that the case for your 'a' and 'b'?