You could afford to go to uni part-time or something that will mean that you can get better skills. I know everyone loves the cliche that you can do whatever you like as long as you work hard, that's simply not true. Some people need a boost in order to have opportunities open to them.
Minimum wages only give
some people a boost: those that can differentiate themselves over the other unskilled workers by showing more desirable traits (including overtime work without pay). The rest who cannot justify the higher wage will become unemployed. Why should the ability to differentiate yourself by wages be blocked? What gives the government this power?
As I have said before: what is to say that these concessions (such as overtime work) are more humane then working under the 'poverty line'? The minimum wage only focuses on wage differentiation, leading to an unintended consequence: it directly threatens working conditions in order to offset the monetary gain.
If you suggest that factories can still make profits under increased minimum wages, then new factories would simply open up to exploit the profitable labour force. The increased demand for labour will help to drive up the price of labour, or improve conditions somewhat. There is no need to worry that the markets are undervaluing employees. If they are being paid under the 'poverty line,' the "cruel" fact is that their labour is simply not worth more than the poverty line.
If you want to destroy poverty, minimum wages are not the way. There are much better ways, whether they be collectivist, or individualist. If you are an individualist, like me, you believe that individuals should donate
voluntarily, and those who do not should not be subject to coercion from the government: instead you may only choose to persuade him or her to do so.