Of course inflation will eventually eat away at its value, but at the moment we have the opposite problem, namely a deflationary spiral, because people aren't buying.
No inflation arises from injecting more money in the system if the amount injected is offsetting a reduction in economic activity. As activity increases, you take money out of the system (Raise rates)
nostromo's comment may sound like a joke but the reason why those two things in particular are inflated is the fact that the printed money is only available as a mortgage or student loan. Nobody is buying consumer goods with the printed money and therefore we don't get to see inflation (which by definition only looks at consumer spending). We might get to see "real" inflation if that printed money is used to pay for unemployment benefits or to pay salaries.
