To solve the inequality \(-4(x - 4) < -5\), let's start by simplifying it step by step:
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Distribute \(-4\) on the left side: \[ -4x + 16 < -5 \]
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Next, subtract \(16\) from both sides: \[ -4x < -5 - 16 \] \[ -4x < -21 \]
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Now, divide both sides by \(-4\). Remember that dividing an inequality by a negative number reverses the inequality sign: \[ x > \frac{-21}{-4} \] \[ x > \frac{21}{4} \]
Thus, the solution to the inequality is: \[ x > \frac{21}{4} \]
In decimal form, \(\frac{21}{4} = 5.25\), so this can also be written as: \[ x > 5.25 \]
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