Solve the following inequality. Justify each step.

Question

negative 2 less than or equals StartFraction t Over 4 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 \(-2 \leq \frac{t}{4}\), we will follow these steps:

1. Multiply both sides by 4:
   Since 4 is a positive number, the direction of the inequality does not change. \[ -2 \times 4 \leq \frac{t}{4} \times 4 \] This simplifies to: \[ -8 \leq t \]

2. Rewrite the inequality:
   The inequality can also be rewritten as: \[ t \geq -8 \]

Thus, the solution to the inequality is: \[ t \geq -8 \]

You can express your answer as: \[ \text{Solution: } t \geq -8 \]