Question

Solve the following inequality. Justify each step.
negative 8 greater than or equals StartFraction t Over 6 EndFraction
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Part 1
What is the​ solution?
  
enter your response here
​(Simplify your answer. Type an​ inequality.)

Answer 1

To solve the inequality \(-8 \geq \frac{t}{6}\), we will follow these steps:

1. **Isolate \( t \)** by eliminating the fraction.

To do this, we can multiply both sides of the inequality by 6. Since 6 is positive, the direction of the inequality will not change:

\[
6 \cdot (-8) \geq t
\]

Simplifying the left-hand side gives:

\[
-48 \geq t
\]

2. **Rewrite the inequality** in a more standard form.

We can write this as:

\[
t \leq -48
\]

Thus, the solution to the inequality is:

\[
t \leq -48
\]

This indicates that \( t \) must be less than or equal to \(-48\).