Question

Solve the inequality: −10f+9≤102
−
10
𝑓
+
9
≤
102
. Use decimal form to answer to the nearest tenth.(1 point)
f≥
𝑓
≥

Check answer...

Answer 1

To solve the inequality \(-10f + 9 \leq 102\), we can follow these steps:

1. **Isolate the term involving \(f\)**: Subtract 9 from both sides.

\[
-10f \leq 102 - 9
\]
\[
-10f \leq 93
\]

2. **Divide by -10**: Remember that when we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality sign.

\[
f \geq \frac{93}{-10}
\]
\[
f \geq -9.3
\]

Thus, the solution to the inequality is:

\[
f \geq -9.3
\]

So, the final answer is:

\[
f \geq -9.3
\] (to the nearest tenth).