olve the following inequality. Justify each step.

Question

negative 4 less than or equals StartFraction t Over 7 EndFraction
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Part 1
What is the​ solution?
  
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​(Simplify your answer. Type an​ inequality.)

Answer 1

To solve the inequality \(-4 \leq \frac{t}{7}\), follow these steps:

1. Multiply both sides by 7: Since 7 is positive, the direction of the inequality remains the same.

   \[ -4 \times 7 \leq \frac{t}{7} \times 7 \]

   This simplifies to:

   \[ -28 \leq t \]

2. Rearranging the inequality: The result can also be written as:

   \[ t \geq -28 \]

So, the solution to the inequality is:

\[ t \geq -28 \]

This means that \(t\) can take any value greater than or equal to \(-28\).