To solve the inequality \( 5x + 6 \leq -4 \), follow these steps:
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Subtract 6 from both sides: \[ 5x + 6 - 6 \leq -4 - 6 \] Simplifying this, you get: \[ 5x \leq -10 \]
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Divide both sides by 5: \[ x \leq -2 \]
The solution to the inequality is: \[ \boxed{x \leq -2} \]
This means that any value of \( x \) that is less than or equal to \(-2\) satisfies the inequality.
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