Solve the inequality: −4f−3≥65

Question

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Answer 1

To solve the inequality \(-4f - 3 \geq 65\), follow these steps:

1. Add 3 to both sides: \[ -4f - 3 + 3 \geq 65 + 3 \] This simplifies to: \[ -4f \geq 68 \]

2. Divide both sides by -4: Remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign. \[ f \leq \frac{68}{-4} \] This simplifies to: \[ f \leq -17 \]

So the solution to the inequality is: \[ \boxed{f \leq -17} \]