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Which of the following is a solution to the inequality below?

[tex]\[ 2 \ \textgreater \ \frac{f}{11} \][/tex]

A. [tex]\( f = 99 \)[/tex]

B. [tex]\( f = 44 \)[/tex]

C. [tex]\( f = 33 \)[/tex]

D. [tex]\( f = 11 \)[/tex]

Answer :

To solve the inequality [tex]\(2 > \frac{f}{11}\)[/tex], follow these steps:

1. Clear the Fraction: Multiply both sides of the inequality by 11 to eliminate the fraction. This gives:
[tex]\[
2 \times 11 > f
\][/tex]
Simplifying, we get:
[tex]\[
22 > f
\][/tex]
or
[tex]\[
f < 22
\][/tex]

2. Check the Given Values: We are given several values for [tex]\(j\)[/tex] and need to determine which one is less than 22. The values provided are: [tex]\(j = 99\)[/tex], [tex]\(j = 44\)[/tex], [tex]\(j = 33\)[/tex], and [tex]\(j = 11\)[/tex].

3. Compare Each Value to 22:
- For [tex]\(j = 99\)[/tex]: 99 is not less than 22.
- For [tex]\(j = 44\)[/tex]: 44 is not less than 22.
- For [tex]\(j = 33\)[/tex]: 33 is not less than 22.
- For [tex]\(j = 11\)[/tex]: 11 is less than 22.

4. Conclusion: The value that satisfies the inequality [tex]\(f < 22\)[/tex] is [tex]\(j = 11\)[/tex].

Therefore, [tex]\(j = 11\)[/tex] is a solution to the inequality [tex]\(2 > \frac{f}{11}\)[/tex].

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