Concept Check Determine what signs on values of x and y would make each statement true. Assume that x and y are not 0. (You should be able to work these mentally.)

$\frac{x³}{y} > 0$

Question

Concept Check Determine what signs on values of x and y would make each statement true. Assume that x and y are not 0. (You should be able to work these mentally.)

[latex]\frac{x³}{y} > 0 [/latex]

Accepted Answer

[latex]\frac{x³}{y} > 0 [/latex]

The quotient of two numbers is positive if they have the same sign (both positive or both negative). The sign of x³ is the same as the sign of x. Therefore, [latex]\frac{x³}{y} > 0 [/latex] if x and y have the same sign.

Question R.2.E.113: Concept Check Determine what signs on values of x and y woul...

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