Question

Two REALLY easy probs. Algebra 1 I believe..just check these answers:

1. 2 > n + 3 > 5
2. 3< s + 9 OR 1 > s - 4

Book says for 1 it's no solution. And for 2 it's all real numbers........what do you think?

Answer 1

1) \(\large 2 > n + 3 > 5\)\[\large -1>n>2\]

So think about it...is there any number that is LESS than -1....but ALSO GREATER than 2?

2) \(\large 3 < s + 9\) or \(\large 1 > s - 4\)
\(\large -6<s\) or \(\large 5>s\)

Are there any numbers that are LESS than 5? OR are there any numbers GREATER than -6?

Answer 2

notice that the way this is written
2 > n + 3 > 5
is quite misleading. After add -3 to both sides (and for both relations) we find

-1 > n > 2
which might suggest n is between -1 and 2.
But it is better to write it this way:
n < -1 and (at the same time) n > 2

which as John has pointed out, aint gonna happen

Answer 3

so book is right that 1 is no solution and 2 is all real numbers than

Thanks!!

Answer 4

Correct! But you see why right?

Answer 5

Anytime!