In order to prove the statement, we have to find a rational number x which satisfies r < x < s.
For the number: ======> x = r + s / 2,
We Have:
r = r + r / 2 < r + s / 2 < s + s /2 ======> s
It remains to prove that x is rational.
Let: ======> r = a/b and s = c/d
where: =====> a, b 6 = 0, c, and d 6 = 0 are integers.
Then: ====> x = r + s/2
= r = a/2b + s = c/2d
= ad + cb / 2bd
Therefore, where ad + cb, and 2bd 6 = 0 are integers. Therefore x is rational.
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Answer:
b
Step-by-step explanation:
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7. Subtract 5.7 from both sides to get the variable on one side. (f=2)
8. Subtract 5.52 from both sides to get the variable on one side. (f=5)
9. Add 3.77 to both sides so the variable will be on one side.
10. Add 10.58 to both sides.
11. Divide by 2.2 on both sides. 2.2b/2.2 will leave you with the variable b. 8.8/2.2=4; b=4.
12. Divide by 2.5b on both sides. 2.5b/2.5 leaves b. 10/2.5= 4; b=4.
Answer:
It might be a
Step-by-step explanation: