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2 years ago

Use inequality notation to describe the set. r is positive

Mathematics

2 answers:

Dominik [7]2 years ago

5 0

Answer:

$\text{c. }r>0$

Step-by-step explanation:

Define a positive number by all real numbers greater than, but not including, zero.

The inequality that represents this is $\boxed{\text{c. }r>0}$

*Note: The sign $\geq$ represents including the value following it. However, we do not want to include zero in our set, hence $r>0$

blagie [28]2 years ago

5 0

Answer:

r > 0

Step-by-step explanation:

a. r≤ 0 the equation is represented as r value is equal to zero or less than zero. So r can be zero or negative since its saying less than zero.

b. r≥ 0 the equation is represented as r value is greater than but equal to zero. So r can be zero and nonpositive.

c. r> 0 the equation is represented as r value greater than 0 which makes the answer positive.

d. r≤ ∞ the equation is represented as r value is equal to all positive integers but all negative integers.

e. r< ∞ the equation is represented as r value is all negative numbers since the inequality sign is less than

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Comment on vocabulary

mean: the sum of numbers divided by the number of numbers. 5 numbers with a mean of 4.4 will have a sum of 5×4.4 = 22.

median: the middle number of a collection of an odd number of numbers, when sorted from lowest to highest. It is the 3rd number of a group of 5 numbers. When there are an even number of numbers in the group, the median is the average of the middle two in the sorted list. Here, that means the 3rd number in the list of 5 is '4'. When 8 is added, 4 becomes one of the numbers contributing to the average that will be the new median.

mode: the member of the group that appears the most times. When the mode is unique, it means there are no other numbers repeated as often. Here, we know the 3rd number (of 5) is 4, so there can only be two numbers '3' in the collection. That 3 is the unique mode means no other numbers are repeated at all.

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