To solve the inequality \( 9 \leq 17 - 4x \), follow these steps:
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Subtract 17 from both sides: \[ 9 - 17 \leq -4x \] \[ -8 \leq -4x \]
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Now, divide both sides by -4. Remember, when dividing by a negative number, the inequality sign flips: \[ \frac{-8}{-4} \geq x \] \[ 2 \geq x \]
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We can rewrite this as: \[ x \leq 2 \]
Thus, the solution to the inequality is: \[ x \leq 2 \]