Final answer:
The statement is true; if Congress is in session and the President does not act on a bill within ten days (excluding Sundays), it automatically becomes a law.
Step-by-step explanation:
If Congress is in session and the President takes no action on a bill, the bill indeed automatically becomes a law after ten days, excluding Sundays. This is outlined in Section 7 Clause 2 of the United States Constitution, which mandates that every bill passed by both the House of Representatives and the Senate must be presented to the President. If the President approves of the bill, they can sign it into law. If the President does not sign or veto the bill within those ten days, it will become a law without their signature. However, this provision does not apply if Congress adjourns before the ten-day period is up, in which case the bill does not become a law, known as a "pocket veto." Congress has the power to override a veto by the President with a two-thirds majority vote in both the House of Representatives and the Senate, demonstrating the system of checks and balances integral to the legislative process.