What is the solution set of [1/x-2]<-2
1 answer:
Answer:
3/2 < x < 2
Step-by-step explanation:
We assume the problem is ...
[tek]\dfrac{1}{x-2}<-2[/tex]
This will not be true for x-2 > 0 because that would make the left side positive. So, we must have x < 2, which makes the denominator negative. Multiplying by (x-2), we get ...
1 > -2(x -2)
1 > -2x +4
2x > 3 . . . . . . add 2x-1
x > 3/2
From above, we also have x < 2, so the solution set is ...
3/2 < x < 2
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Answer:
see explanation
Step-by-step explanation:
solving the inequality
≥ 8 ( multiply both sides by 5 to clear the fraction )
x ≥ 40
Then from the values given
39 → No
40 → Yes
41 → Yes
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Total number of students at a summer camp (Universal set)= 150
Number of students who signed for canoeing (C) = 72
Number of students who signed for trekking (T)=23
Number of student who signed for both (T∩C)= 13
As we know the formula of "Sets ":
So, we need to find the number of students who signed up for neither canoeing nor trekking:
Percentage of students signed up for neither canoeing nor trekking is given by
Hence, Option 'A' is correct.