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Only alkalis and not all bases dissolve in water to give OH- ions.
Examples of alkali are NaOH,KOH,etc. thus the set of alkalis is smaller than that of bases, simply because it is a subset of the set base. Hence, all alkalis are bases, but all bases are not alkalis.
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A base is any substance that neutralizes acid.it may or may not be soluble in
water.Those bases which r soluble in water r called Alkalies.Thus and alkali is a water soluble base. 
therefore,it is said that all alkalies r bases but all bases r not alkalies
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