Solve the inequality: −10f+9≤102

Question

−
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).