10 The product of -4 and a number is greater than 12 . Which solution from the set makes an inequally represented by the statement true? $$ \left\{-6,-3, r^{-1}, 3,15,16,17\right\} $$

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To solve the inequality: $$ -4 \times x > 12 $$ 1. **Isolate $$ x $$:** Divide both sides by $$-4$$. Remember, dividing by a negative number reverses the inequality sign: $$ x < \frac{12}{-4} \Rightarrow x < -3 $$ 2. **Identify the solutions from the set $$\{-6, -3, r^{-1}, 3, 15, 16, 17\}$$ that satisfy $$ x < -3 $$:** - **$$-6$$:** Yes, $$-6 < -3$$ - **$$-3$$:** No, $$-3$$ is not less than $$-3$$ - **$$r^{-1}$$:** Without additional information about $$ r $$, we cannot determine if $$ r^{-1} < -3 $$ - **$$3$$, $$15$$, $$16$$, $$17$$:** No, all these values are greater than $$-3$$ 3. **Conclusion:** The only definite solution from the set that satisfies the inequality $$ x < -3 $$ is $$-6$$. **Answer:** $$-6$$ The number $$-6$$ satisfies the inequality $$-4 \times x > 12$$.

10 The product of -4 and a number is greater than 12 . Which solution from the set makes an inequally represented by the statement true? \[ \left\{-6,-3, r^{-1}, 3,15,16,17\right\} \]

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