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Aleonysh [2.5K]
3 years ago
9

Match each inequality with its solutions set

Mathematics
1 answer:
Shalnov [3]3 years ago
4 0

Answer:

1. will be 2×1+1<_3

2. with 1+3×-2>_5

3. with 5--2×3>_11

4.5×2+7>_17

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If p is the smallest of four integers, what is their sum interms of P​
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If  p  is the smallest of  n  consecutive integers of the same sign than we have  p ,  p+1 ,  p+2 ,  … ,  p+(n−1) ,

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And checking

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Than you have the same thing as if  p=v−n+1  just negative for example  3  consecutive integers the smallest is  −5  so the sum is  −5+(−4)+(−3)=3×−5+32−32=−15+3=−12  

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If  p=−v  the sum of next  v+1  integers is  −(∑k=0vk)=−(v2+v2)  

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So recap if  p  is the smallest of  n  consecutive integers their sum is

p+(p+1)+(p+2)+…+(p+(n−1))=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪np+n2+n2−(n|p|+n2+n2)((n−|p|)2+(n−|p|)2)−(|p|p+|p|2+|p|2)((n−|p|)2+(n−|p|)2)n≥0p<0∧n<|p|+1p<0∧|p|<n<2|p|+1p<0∧n>2|p|+1

Step-by-step explanation:

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3 years ago
Solve the following system y= x+ 3 3x +y = 19
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(4,7)
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