Questions: Subtract (4 y) from both sides of the inequality. [ 5 y+4 leq-2+4 y 5 y+4-4 y leq-2+4 y-4 y y+4 leq-2 ] Begin with the given inequality. Subtract. Simplify. What is a good next step? Select the correct choice and fill in the answer box to complete your choice. A. Divide both sides of the inequality by (square) . B. Subtract (square) from both sides of the inequality.

Subtract (4 y) from both sides of the inequality. [ 5 y+4 leq-2+4 y 5 y+4-4 y leq-2+4 y-4 y y+4 leq-2 ] Begin with the given inequality. Subtract. Simplify. What is a good next step? Select the correct choice and fill in the answer box to complete your choice. A. Divide both sides of the inequality by (square) . B. Subtract (square) from both sides of the inequality.
Transcript text: Subtract $4 y$ from both sides of the inequality. \[ \begin{aligned} 5 y+4 & \leq-2+4 y \\ 5 y+4-4 y & \leq-2+4 y-4 y \\ y+4 & \leq-2 \end{aligned} \] Begin with the given inequality. Subtract. Simplify. What is a good next step? Select the correct choice and fill in the answer box to complete your choice. A. Divide both sides of the inequality by $\square$ . B. Subtract $\square$ from both sides of the inequality.
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Solution

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Solution Steps

To solve the inequality \( y + 4 \leq -2 \), we need to isolate the variable \( y \). The next logical step is to subtract 4 from both sides of the inequality.

Solution Approach
  1. Begin with the simplified inequality \( y + 4 \leq -2 \).
  2. Subtract 4 from both sides to isolate \( y \).
Step 1: Start with the Simplified Inequality

We start with the simplified inequality: \[ y + 4 \leq -2 \]

Step 2: Subtract 4 from Both Sides

To isolate \( y \), we subtract 4 from both sides of the inequality: \[ y + 4 - 4 \leq -2 - 4 \] This simplifies to: \[ y \leq -6 \]

Final Answer

The solution to the inequality is: \[ \boxed{y \leq -6} \]

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