Absolute Value 56B5Bc

1. **State the problem:** We need to find the solution set of the equation $$|x + 3| = -30$$. 2. **Recall the property of absolute values:** The absolute value of any real number is always non-negative, meaning $$|a| \geq 0$$ for any real number $$a$$. 3. **Analyze the equation:** Since $$|x + 3|$$ represents the distance of $$x + 3$$ from zero, it cannot be negative. 4. **Conclusion:** The equation $$|x + 3| = -30$$ has no solution because the right side is negative, which is impossible for an absolute value. **Final answer:** The solution set is the empty set, denoted by $$\varnothing$$.