Subjects algebra

Absolute Value Negative

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1. The problem is to solve the equation $|x + 2| = -3$. 2. Recall that the absolute value function $|a|$ represents the distance of $a$ from zero on the number line, and it is always non-negative. This means $|a| \geq 0$ for any real number $a$. 3. Since the right side of the equation is $-3$, which is negative, there is no real number $x$ such that $|x + 2| = -3$. 4. Therefore, the equation has no solution because an absolute value cannot equal a negative number. Final answer: No solution.