To solve the inequality \(-4t \leq 48\), follow these steps:

1. Divide both sides of the inequality by \(-4\) to isolate \(t\). Remember, when dividing by a negative number, the inequality sign must be reversed.
   
   \[
   t \geq \frac{48}{-4}
   \]

2. Simplify the right-hand side:

   \[
   t \geq -12
   \]

Thus, the solution is \(t \geq -12\).

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Here are 5 related questions for further practice:
1. Solve the inequality \(3x - 7 \leq 8\).
2. Solve the inequality \(-2y > 10\).
3. Solve the inequality \(5 - 4z \geq -11\).
4. Solve the compound inequality \(2a + 1 > 5 \) and \(a - 3 \leq 2\).
5. Solve the absolute value inequality \(|x - 4| \leq 3\).

**Tip**: Always reverse the inequality sign when multiplying or dividing by a negative number!

Learn how to solve the inequality −4t ≤ 48 with a step-by-step explanation. Understand the key concept of reversing the inequality sign when dividing by a negative number. This problem is suitable for students in Grades 7-9.

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