To solve the inequality \(-2 \leq x + 4\), we will isolate \(x\).
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Start with the original inequality: \[ -2 \leq x + 4 \]
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Subtract 4 from both sides: \[ -2 - 4 \leq x \]
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Simplify the left side: \[ -6 \leq x \]
This can also be written as: \[ x \geq -6 \]
So, the solution to the inequality is \(x \geq -6\).