The value of n that satisfies the inequality is 6.
<h3>What is inequality?</h3>
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
4n − 12 < 2n + 2
For n= 6
4(6) - 12 = 12
2(6) + 2 = 14
Thus, n=6 satisfies
For n= 7
4(7) - 12 = 16
2(7) + 2 = 16
Thus, n=7 not satisfies
For n=8
4(8) - 12 = 20
2(8) + 2 = 18
Thus, n=8 not satisfies.
For n= 9
4(9) - 12 = 24
2(9) + 2 = 20
Thus, n=9 not satisfies.
Learn more about inequality here:
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Answer:
- The probability that the locker code begins with a prime number is 40%.
- The probability that the last digit of the locker code is an odd number is 40%
Step-by-step explanation:
- Prime numbers are the numbers that only divide with 1 or itself. So in this case it is 5 and 7.
The possible combinations are
1*4*3 (with 5) + 1*4*3(with 7) = 24
Total combinations are 5*4*3=60
(24/60)*100 = 40 %
2. Odd numbers are those which don't divide with 2. So in this case it is 6 and 8.
The possible combinations are
1*4*3 (with 6) + 1*4*3(with 8) = 24
Total combinations are 5*4*3=60
(24/60)*100 = 40 %
Answer:
You can arrange them 16 times. Hope this helps!