I have this statement:
It can be assured that | p | ≤ 2.4, if it is known that:
(1) -2.7 ≤ p <2.3
(2) -2.2 < p ≤ 2.6
My development was:
First, $ -2.4 \leq p \leq 2.4$
With $1)$ by itself, that can't be insured, same argument for $2)$
Now, i will use $1)$ and $2)$ together, and the intersection between this intervals are: $(-2.2, 2.3)$. So, this also does not allow me to ensure that | p | ≤ 2.4, since, there are some numbers that are outside the intersection of these two intervals, for example 2.35 is outside this interval.
But according to the guide, the correct answer must be $1), 2)$ together. And i don't know why.
Thanks in advance.