I need help with some set notation. I am an engineering major and don't know the proper notation. I am trying to write two statements. I have two sets, [itex]x_1[/itex] = {1,2,3}, and [itex]x_2[/itex] = {4,5,6}.(adsbygoogle = window.adsbygoogle || []).push({});

Verbal Statements:

[itex]y_1[/itex] was measured for all values of [itex]x_1[/itex] and [itex]x_2[/itex]

[itex]y_2[/itex] was measured, for all values of [itex]x_1[/itex], and only the first element (4) of [itex]x_2[/itex]

Attempt:

[itex]y_1[/itex] measured [itex]\forall x_1[/itex], [itex]\forall x_2[/itex]

[itex]y_2[/itex] measured [itex]\forall x_1[/itex], {4} [itex]\cap\: x_2[/itex]

or

[itex]y_2[/itex] measured [itex]\forall x_1[/itex], {4} [itex]\in x_2[/itex]

Are any of these correct? Is there a more proper way to write this?

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# Need help with writing set notation.

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