Solve the inequality. Make sure to write the inequality so the x comes first. -4t + 5 ≤ -23 Note: You can write ≤ like this <= You can write ≥ like this >= * 2 points

1 answer

To solve the inequality \(-4t + 5 \leq -23\), follow these steps:

  1. Subtract 5 from both sides:

\[ -4t + 5 - 5 \leq -23 - 5 \]

This simplifies to:

\[ -4t \leq -28 \]

  1. Divide both sides by -4. Remember that when you divide by a negative number, you must reverse the inequality sign:

\[ t \geq 7 \]

To express the inequality with \(t\) first, we write:

\[ t >= 7 \]

So the final answer is:

\[ t >= 7 \]