All minerals are ores and can be used for the extraction of metals.
False statement: All minerals are ores and can be used for the extraction of metals.
True statement: All ores are minerals and can be used for the extraction of metals.
It is possible to extract metals from ores. However, all minerals are not good enough for the recovery of metals.
Concluding statement
All ores are minerals and can be used for the extraction of metals, therefore the given statement is false.