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]
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]
