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The answer is option
D) r < 5 or r > – 1.
I'm going to graph each inequality below on a number line.
A) r > 5 or r > – 1.
The result is found just by joining those two intervals together. Actually that compound inequality only implies
r > – 1which does not represent all real numbers.
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B) r > 5 or r < – 1.
Numbers between – 1 and 5 (including them) are not included in the union, so you don't have all real numbers represented there either.
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C) r < 5 or r < – 1.
Numbers that are greater or equal to 5 are not in the union. So it does not represent all real numbers.
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D) r < 5 or r > – 1.Now
all real numbers are included in the union. So this is the right choice.
Answer:
option D) r < 5 or r > – 1.
I hope this helps. =)
1. D
2.B
3.A
4. D i think i can’t really see that question
5.C
answer
explanation
since there are 2 x-intercepts, the lowest degree the function could possibly have is 2, so this could be the graph of a parabola
since our zeros are at x = 4 and x = -2, our factors are (x - 4) and (x + 2)
our equation so far is
(x - 4)(x + 2)
=
=
since the function is reflected across the x-axis, multiply the equation by -1
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since the function has a vertical stretch of 3, multiply the equation by 3
=
1. The three dots at the end of the number is called an ellipsis.
2. Since it doesn't terminate or repeat, the number is an irrational number.
3. When it can be written as a ratio, it is a rational number.
4. The decimal digits infinitely repeating is called a repeating decimal.
5. Ending decimal is another word for terminating decimal.
6. The fraction bar in which has numerator above and denominator below is a vinculum. Hope this helps!