China is not regarded a democratic country because it is ruled by the Communist Party. Elections are held in China but in the country, only the members of the Chinese Communist party or its eight allied parties can contest elections, and thus, only the Communist party can form the Government. Free and fair elections are not held in China.Thus, China is not a democracy. In Mexico, elections are held after every six years, but until 2000, every election was won by the Institutional Revolutionary Party (IRP). The IRP used every legal and illegal method to win the elections. Teachers in schools were forced to influence parents to vote for the IRP, media ignored all activities of the ruling party but only focused itself on criticising the opposing parties and large sums were spent on campaigning for IRP candidates.Democracy must be based on free and fair elections where those currently in power have a fair chance of losing the elections.

Despite of holding elections the final power rest with the ruler so they are not democracy in China and in Mexico the ruling party use dirty trick to win the election they are not free and fair. so Mexico is also not a democracy

China and Mexico: Not Regarded as Democracies
China and Mexico are not regarded as democracies despite holding elections for various reasons.

Lack of Political Pluralism
- In China, the Communist Party holds a monopoly on power, limiting political pluralism and opposition parties.
- In Mexico, the dominance of the Institutional Revolutionary Party (PRI) for many years led to limited political competition and lack of pluralism.

Restrictions on Civil Liberties
- Both countries have been criticized for restricting freedom of speech, press, and assembly, limiting the ability of citizens to express dissenting views.
- China's strict censorship laws and Mexico's issues with violence and intimidation against journalists are examples of these restrictions.

Controlled Electoral Processes
- Elections in China are tightly controlled by the Communist Party, with limited choices for voters and a lack of genuine competition.
- Mexico has faced issues of electoral fraud and corruption, undermining the credibility of its democratic processes.

Weak Rule of Law
- Both countries struggle with issues related to the rule of law, including corruption, lack of transparency, and unequal access to justice.
- This weak rule of law undermines the foundations of democracy and the protection of citizens' rights.

Conclusion
Despite holding elections, China and Mexico are not considered full-fledged democracies due to the lack of political pluralism, restrictions on civil liberties, controlled electoral processes, and weak rule of law. These factors contribute to a political environment that falls short of democratic standards.