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Step2247 [10]
4 years ago
11

What is the solution set of {x | x < 2} ∪ {x | x ≥ 2}

Mathematics
1 answer:
Lostsunrise [7]4 years ago
8 0
The union of two sets is defined as all elements that are members of both sets.

The first set evaluuates to (...,...,...-2,-1,0,1) and the second eveluates to (2,3,4,5,...,...).

There are no elements that belong to both sets so the solution is the empty set. {∅}

Another way is to think about it in words: "What number(s) are less that 2 and also equal to to greater than 2?" Clearly there is no number that fits both of those. 
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sineoko [7]

Answer:

See below.

Step-by-step explanation:

The square root of a number is a number than when multiplied by itself, you get the original number.

For example, the square root of 4 is 2 since 2 * 2 = 4, but the square root of 4 is also -2 since (-2) * (-2) = 4. Since the product of 2 negative numbers is positive, and the product of two positive numbers is also positive, each positive integer has two square roots, one positive and one negative.

The cubic root of a number is a number that when you cube you get the original number. To cube a number, you must find the product of 3 equal numbers. For example, the cubic root of 8 is 2 since 2 * 2 * 2 = 8. The cubic root of 8 cannot be -2 since (-2) * (-2) * (-2) = -8, not 8. When you multiply 3 positive numbers together, the product is positive. When you multiply three negative numbers together, the product is negative. Because of this, a positive number has a positive cubic root, and a negative number has a negative cubic root. A positive integer has only one cubic root.

7 0
3 years ago
3- Product of two expressions H.C.F=<br>A. H.CF<br>B. L.C.M<br>C. H.C.F + L.C.M<br>D. H.C.P x L.C.M​
Mnenie [13.5K]

(i) The product of the two expressions is equal to the product of their factors. (ii) The product of the two expressions is equal to the product of their H.C.F. and L.C.M. 2.

8 0
3 years ago
Can someone explain this, please?
Lostsunrise [7]
If you notice the terms, they're

7, -21, 63, -189 and so forth.

7*-3 = -21  and -21 * -3 is 63 and so forth, meaning the "common ratio" is -3.

now, for a common ratio say "r", which is a fraction, namely less than ±1 and more than 0, or |r| < 1 ,  you do have a convergent sequence.

however this one notice, |-3| is 3, and that's greater than 1 clearly, therefore is divergent, meaning the summation has no finite value.
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Write in an algebraic expression
SpyIntel [72]
What was the answer to the proble above
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Yesterday 11 inches of snow fell. Determine whether the data value is from a discrete or continuous data set. It is from a conti
vodomira [7]
It is continuous, infinite possible values
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3 years ago
Read 2 more answers
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