Subjects algebra

Solve Inequality 17E4F9

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1. **State the problem:** Solve the inequality $$89 - f \geq 86$$ for the variable $f$. 2. **Isolate the variable:** To solve for $f$, we want to get $f$ alone on one side of the inequality. 3. **Subtract 89 from both sides:** $$89 - f \geq 86$$ $$\cancel{89} - f - \cancel{89} \geq 86 - 89$$ $$-f \geq -3$$ 4. **Multiply both sides by $-1$ to solve for $f$:** Remember, multiplying or dividing an inequality by a negative number reverses the inequality sign. $$-1 \times (-f) \leq -1 \times (-3)$$ $$f \leq 3$$ 5. **Final answer:** $$\boxed{f \leq 3}$$ This means $f$ can be any number less than or equal to 3.