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GRE
GRE Quantitative Reasoning Section

Comparing Complex Rational Expressions

Very Hard Algebra Expressions, Equations, And Inequalities

Let the expression for Quantity A be defined as:

$$A =\frac{2x + 4}{x - 3}$$

and the expression for Quantity B be defined as:

$$B =\frac{3x - 5}{x + 2}$$

Determine the relationship between Quantity A and Quantity B for values of $$x$$ that do not make any denominators equal to zero.

Hint

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