Subjects algebra

Solve Inequality A05857

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1. **State the problem:** Solve the inequality $$1.39 > \frac{z}{7}$$ for $z$. 2. **Recall the rule:** To isolate $z$, multiply both sides of the inequality by 7. Since 7 is positive, the inequality direction remains the same. 3. **Multiply both sides by 7:** $$1.39 \times 7 > \frac{z}{\cancel{7}} \times \cancel{7}$$ 4. **Simplify:** $$9.73 > z$$ 5. **Rewrite the solution:** $$z < 9.73$$ **Answer:** The solution to the inequality is $$z < 9.73$$.