I think you have to provide example of why lower interest "didn't work" as indeed it does as cheap money to invest does jump start the economy working and, likewise, raising interest rates tightening the money supply and has opposite effect. Simularly, an overheated ecconomy raises Inflation and a cooler economy lowers inflation rate. But there are many other factors that influence the ecconomy and problem is all those other factors as it's certainly not an overheated economy causing inflation but clearly supply issues=simple supply and demand problem.
To lower price/inflation, either supply has to increase (fix supply issues) or demand has to decrease. It would be better to fix supply issues, but nothing is being done there -- they clearly are choosing to decrease demand (by stomping on the ecconomy). There is a third option, do nothing and live with inflation. There can be many other causes for inflation (decreased dollar buying power) but IMO its supply issues here.