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demonstrate (something) to (one)
To show someone how something functions or how to operate it. My boss wants me to demonstrate the software to her.
demonstrate against (someone or something)
To publicly display opposition to someone or something; to protest against something. Many people in our small town are demonstrating against that big construction project because they feel that we don't need more stores so close to our homes.
demonstrate for (someone or something)
To publicly show support for someone or something. Many people in our small town are demonstrating for that big construction project because the closest store right now is 10 miles away.
demonstrate against someone or something
to make a public show against someone or something. The citizens demonstrated against the new policies. A number of protestors demonstrated against the mayor.
demonstrate for someone or something
to make a public show in favor of someone or something. We will all demonstrate for Walter's candidacy. A number of supporters demonstrated for the mayor.
demonstrate something to someone
to show someone how something works. Would you please demonstrate this DVD player to me? I may want to buy it. The new products were demonstrated to the board of directors in advance.