What is the sum of all integers x that satisfy 1 < (pi -1 )x < 10?
2 answers:
Answer:
Step-by-step explanation:
pi - 1 = 3.14 - 1 = 2.14
x has to be an integer, and the result must be greater than 1.
1 works.
1 < 2.14*1 < 10 2.14 is between 1 and 10.
2 works
1 < (2.14)*2 < 10
1 < 4.28 < 10
3 works
1 < 2.14 * 3 < 10
1 < 6.42 < 10
4 might work
1 < 2.14*4 < 10
1 < 8.56 < 10
and it does work.
5 can't work
1 < 5 * 2.14 < 10
1 < 10.7 < 10 is not true.
Answer: 1,2,3,4
Answer:
10
Step-by-step explanation:
pi is 3.14...
pi - 1 is 2.14...
question becomes 1<2.14x and 2.14x < 10
1/2.14 < x, 0.46... < x
x < 10/2.14, x < 4.67...
combining
0.46< x < 4.67
x can be 1, 2, 3, 4
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