What is the sum of all integers x that satisfy $$-5\le x/\pi \le 10$$

Question

across · Answer

Where, in the process of solving this question, are you stuck on?

anonymous · Answer

The entire process. I'm not sure where to start

across · Answer

You are looking for integers $x$ that satisfy both inequalities:$$x\leq10\text{ and}\x\geq-5.$$Begin by taking a "small" enough integer, say, $-10$, and move up from there.

across · Answer

I meant to say$$x/\pi\leq10\text{ and}\x/\pi\geq-5.$$

anonymous · Answer

How would I find the numbers which are divisible by pi?

across · Answer

You are not testing for divisibility here, you are only seeking to fulfill both inequalities.

anonymous · Answer

Would the answer be 5pi?

across · Answer

For example, this$$-5\le x/\pi \le 10$$is the same as this$$-5\pi\le x \le 10\pi.$$You want to sum all integers $x$ that fall within that range:|dw:1338507955665:dw|