To determine if \( x = -2 \) is a solution to the inequality \( 3 \leq x + 10 \), we can substitute \(-2\) for \( x \) in the inequality.
Starting with the inequality:
\[ 3 \leq x + 10 \]
Substituting \( x = -2 \):
\[ 3 \leq -2 + 10 \]
Calculating the right side:
\[ 3 \leq 8 \]
Since \( 3 \) is indeed less than or equal to \( 8 \), the inequality holds true.
Thus, \( x = -2 \) is a solution to the inequality \( 3 \leq x + 10 \).