Answer:
17 pants and 9 shirts
Step-by-step explanation:
questions like this require you to guess numbers first then adjust them as needed. I originally guessed 20 pants and 6 shirts, however the number was too high, so I put less pants, since they're the higher number. if the number was too low you would use less shirts since they're the lower number. after a couple of tries you'll get
(225 × 17) + (125 × 9) = 4950
but seriously who spends almost 5000 dollars on clothes from one store in one outing, that's so much money
6+1/343+36+1/81−27−36+1/81-27-243+1/256+1/144+1/8+1/5
Answer: The solution is the set of all real numbers (there are infinitely many solutions).
The reason why this is the case is because |x| is never negative. The smallest it can get is 0, which is larger than -3. That applies to |x-2| as well. So |x-2| is ALWAYS larger than -3 no matter what you pick for x. The smallest |x-2| can get is 0 and that happens when x = 2. Otherwise, the result is some positive value which is larger than -3.
So that's why |x-2| > -3 has infinitely many solutions. We can replace x with any real number we want, and the inequality would be true.
It's pretty clear what the pattern is - 2^(k-1) * (-1)^(k-1) would work backwards, but we have to work forwards to get lower in this case, so we could start at -3 (as long as we put the k-1 in absolute value to make sure it's not 1/8), so we could write it as ∑ (k=1, goes to 4) 2^(|k-4|)*(-1)^(k-4)
It doesn't matter for k-4 because 1/-1 and 1/1 are the same thing as -1 and 1 respectively