#### Answer

True

#### Work Step by Step

Evaluate each statement to obtain:
Statement 1: $0.\overline{3} \gt 0.3$
This statement is true since $0.33333... \gt 0.3$
Statement 2: $-10 \lt 4+6$
This statement is true because $-10 \lt 10$.
Since both simple statements true, the compound statement is TRUE.