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------------------------------------------------ Solve for [tex]f[/tex].

[tex]184 > \frac{f}{-12} + 187[/tex]

Answer :

Sure! Let's solve the inequality step-by-step:

We are given the inequality:

[tex]\[ 184 > \frac{f}{-12} + 187 \][/tex]

1. Isolate the term with [tex]\( f \)[/tex] by subtracting 187 from both sides of the inequality:

[tex]\[ 184 - 187 > \frac{f}{-12} \][/tex]

This simplifies to:

[tex]\[ -3 > \frac{f}{-12} \][/tex]

2. To isolate [tex]\( f \)[/tex], we need to remove the fraction by multiplying both sides by -12. Remember, when multiplying both sides of an inequality by a negative number, we must reverse the inequality sign:

[tex]\[ -3 \times -12 < f \][/tex]

This simplifies to:

[tex]\[ 36 < f \][/tex]

3. We can rewrite this to make it more standard:

[tex]\[ f > 36 \][/tex]

So the solution for the inequality is:

[tex]\[ f > 36 \][/tex]

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