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ANSWER

Mg(OH)2 is a base

STEP-BY-STEP EXPLANATION:

Firstly, we need to define the word "acid and base"

An acid is a substance that will produce hydrogen ion as the only positive ion when dissolved in water

WHILE

A base is a substance that can neutralize the acid by reacting with hydrogen ions to produce salt and water. A base also contain hydroxyl ion (OH)

From the above definition, you will see that Mg(OH)2 is a base