1\. Some members of society may be unable to work e.g. the elderly, those with disabilities or additional needs, parents with young children etc. Without government intervention, these people will likely live in poverty. This can create significant inequality in an economy.
2\. Goods that are bad for us (often called demerit goods) may be over-produced; these could include products such as cigarettes and alcohol. Similarly, products that are very good for us (often called merit goods) may not be consumed in large enough quantities; these could include healthcare and education (which will not be provided by the government in a completely free-market system).
3\. Because of the profit motive, firms may be tempted to cut costs, and so exploit labour (e.g. paying low wages or using child labour), use environmentally unsound production methods etc.
4\. Some firms may grow so large that they gain significant monopoly power, which allows them to charge very high prices to consumers, which could be unfair. Without government intervention, there may be no easy way to prevent this from happening.
5\. Public goods (which you will meet later in Theme 1) will not be provided. Examples include streetlights, free-to-use roads, lighthouses, flood defences etc.