#### Answer

True

#### Work Step by Step

Evaluate each statement to obtain:
Statement 1: $0.6 \le 0.\overline{6}$
This statement is true since $0.6 \lt 0.666666...$
Statement 2: $2 \cdot 5 \le 4+6$
This statement is true because $10 \le 10$.
Since both simple statements are true, the compound statement is TRUE.