Find the solution set for this inequality. SHOW YOUR WORK OR NO CREDIT -2x+4>-4x+8
2 answers:
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Answer: (1) d, f (2) c, d, f (3) e, f (4) a, b, c, d, f (5) e, f
<u>Step-by-step explanation:</u>
a) Natural Numbers: 1, 2, 3, ...
b) Whole Numbers: 0, 1, 2, 3, ... <em>(add zero to the Natural numbers)</em>
c) Integers: ..., -3, -2, -1, 0, 1, 2, 3, ... <em>(add negatives to the Whole numbers)</em>
d) Rationals: Add terminating and repeating decimals to Integers.
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e) Irrationals: Non-repeating decimals that are non-terminating. <em>This is its own category so cannot be a Rational number or above.</em>
f) Real Numbers: ALL of the above (a - e) are Real numbers.
1) -5.2 has a terminating decimal so it is a RATIONAL number.
2) -4 is below zero so is an INTEGER which means it is also a RATIONAL #
3) -4.3212... is a non-terminating decimal so it is an IRRATIONAL number
4) = 2 is a NATURAL number which means it is also a WHOLE number, INTEGER, and RATIONAL number.
5) is a non-terminating decimal so it is an IRRATIONAL number
<u>Given</u>:
If you are dealt 4 cards from a shuffled deck of 52 cards.
We need to determine the probability of getting two queens and two kings.
<u>Probability of getting two queens and two kings:</u>
The number of ways of getting two queens is
The number of ways of getting two kings is
Total number of cases is
The probability of getting two queens and two kings is given by
Substituting the values, we get;
Simplifying, we get;
Thus, the probability of getting two queens and two kings is 0.000133