Which of the following is a solution to the inequality below?
5 > k/2 – 1
k = 96
k = 8
k = 18
k = 52
Which of the following is a solution to the inequality below? 5 > k/2 – 1 k = 96 k = 8 k = 18 k = 52
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To solve the inequality (5 > frac{k}{2} – 1), we can start by isolating (k).
1. First, add 1 to both sides:
[
5 + 1 > frac{k}{2}
]
[
6 > frac{k}{2}
]
2. Next, multiply both sides by 2 to eliminate the fraction:
[
12 > k
]
or
[
k < 12
]
Now, let’s evaluate the given options:
– (k = 96) (not less than 12)
– (k = 8) (less than 12)
– (k = 18) (not less than 12)
– (k = 52) (not less than 12)
The correct answer is k = 8 because it is the only value that satisfies the inequality (k < 12).