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serious [3.7K]
3 years ago
7

Describe these points with a double inequality

Mathematics
1 answer:
lesya692 [45]3 years ago
3 0

Answer:

-2<x\leq11

Step-by-step explanation:

The line spans from -2 to 11 so we know that those are the values that will be in our expression. -2 has an open circle, therefore, we do not include that value. So any value greater than -2 but not equal to -2 is included. -11 has a closed circle that ends the line segment. This means that any value less than 11 or greater than 11 is included. Therefore the expression would be x is greater than -2 and less than or equal to 11.

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Step-by-step explanation:

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2 years ago
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2 years ago
Write the series using summation notation. Then find the sum of the series.
ivolga24 [154]

Hello, please consider the following.

\displaystyle 1+2+3+...+12=\sum_{k=1}^{k=12} {k}=\dfrac{12*13}{2}=6*13=78

For the second we will need to put on the same denominator.

\displaystyle \dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{14}=\sum_{k=1}^{k=7} {\dfrac{1}{2k}}\\\\=\dfrac{1}{2}\dfrac{420+210+140+105+84+70+60}{5*7*3*2*2}\\\\=\dfrac{1}{2}\dfrac{1089}{420}\\\\=\dfrac{1089}{840}=1.296429...

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