Represent each statement in the argument as a logical statement using the propositional symbols and our logical connectives. Applying the rules of inference, prove that either the opportunities for students will be better or great care will be needed to protect the university's reputation. Be sure to specify the rules of inference used. Either the university budget will continue to increase or the quality of its library holdings will be undermined. If the university budget increases, the opportunities for students will be better. If the quality of its library holdings is undermined, the great care will be needed to protect its reputation. So, either the opportunities for students will be better or great care will be needed to protect the university's reputation.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.