Which of the following is a solution to the inequality below? 5 > k/2 – 1 k = 96 k = 8 k = 18 k = 52

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).