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Single Bond
c=c bond is present in saturated and c-c bond is present in unsaturated
The bond is covalent; the meaning of saturated is a single bond between carbon atoms (C-C).
Yes glycerol is saturated in hydrogen. Glycerol is found in both unsaturated and saturated fats and can bond with fatty acids.
True of saturated fat is that, it has not a single set of double bond between two near by carbon atoms.