Solve the following inequality. Justify each step.

Question

StartFraction t Over 4 EndFraction greater than or equals minus 3
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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 \(\frac{t}{4} \geq -3\), we can follow these steps:

1. Multiply Both Sides by 4: Since 4 is a positive number, multiplying both sides of the inequality does not change the direction of the inequality.

   \[ 4 \cdot \frac{t}{4} \geq 4 \cdot (-3) \]

   This simplifies to:

   \[ t \geq -12 \]

2. Write the Final Answer: The solution to the inequality is:

   \[ t \geq -12 \]

This means that the values of \(t\) that satisfy this inequality are all real numbers greater than or equal to -12.

So, the final answer in inequality form is:

\[ t \geq -12 \]