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How many odd natural numbers are possible which satisfy the inequality
(x−2) (x−6) (x−10) (x−14) (x−18) < 0
- a)7
- b)4
- c)5
- d)8
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
How many odd natural numbersare possible which satisfy the inequality(...
We can see that at x= 2,6,10,14,18 the function becomes 0
After every root, the function changes its value.
for x > 18; the equation is always positive hence no solution
for 14<x<18, the equation is negative and 15 & 17 are 2 odd numbers satisfying it
for 10<x<14; the equation is always positive
for 6 < x < 10 ; the equation is negative and 7 & 9 are 2 odd numbers satisfying it
for 2<x<6, the function will be always positive hence no solution
For 0<x<2 the function will be negative. 1 is the only odd number in this range
Total 5 such numbers are there.
Most Upvoted Answer
How many odd natural numbersare possible which satisfy the inequality(...
There are infinitely many odd natural numbers that satisfy the inequality (x < 100)="" and="" (x="" /> 1).
Community Answer
How many odd natural numbersare possible which satisfy the inequality(...
We can see that at x= 2,6,10,14,18 the function becomes 0
After every root, the function changes its value.
for x > 18; the equation is always positive hence no solution
for 14<x<18, the equation is negative and 15 & 17 are 2 odd numbers satisfying it
for 10<x<14; the equation is always positive
for 6 < x < 10 ; the equation is negative and 7 & 9 are 2 odd numbers satisfying it
for 2<x<6, the function will be always positive hence no solution
For 0<x<2 the function will be negative. 1 is the only odd number in this range
Total 5 such numbers are there.
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How many odd natural numbersare possible which satisfy the inequality(x−2) (x−6) (x−10) (x−14) (x−18) < 0a)7b)4c)5d)8Correct answer is option 'C'. Can you explain this answer?
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