True or False: If a < b and b < c, then a < c.?

True or False: If a %26lt; b and b %26lt; c, then a %26lt; c.


True or False: If a %26gt; b, then a + c %26gt; b + c.True or False: If a %26lt; b and b %26lt; c, then a %26lt; c.?
1 If a %26lt; b and b %26lt; c, then a %26lt; c. TRUE


2. If a %26gt; b, then a + c %26gt; b + c. TRUETrue or False: If a %26lt; b and b %26lt; c, then a %26lt; c.?
The first is True.


If a is smaller than b and b is smaller than c, it only makes sense that a is smaller than c, right?





The second is also true. If a is bigger than b, and let's say you add 2 to both, a plus two is still going to be bigger than b plus 2, right?





Hope that helps.
The first one is true.


To test it we can give them values


a=6 b=5 c=4


6%26lt;5 5%26lt;4


then


6%26lt;4


or


a%26lt;b%26lt;c


Subtract b from both sides


a-b%26lt;c-b


then add b


a%26lt;c


The second one is also true


if you assign it with the same number then you get this


6%26gt;5 then 6+4%26lt;5+4


or


a+c%26gt;b+c


subtract c from both sides


and it is the same inequality


a%26gt;b


In short


1.) True


2.) True
both statements are true





you can test it by picking random values





e.g. if you let a=1, b=2 and c=2


then 1%26lt; 2, 2 %26lt; 3, 1%26lt; 3





then let a=2, b=1 and c=3


2+3 %26gt;1+3 since 5%26gt;4
If you're having to ask this on Yahoo you're having problems. Speak to your teacher.
both are true
true