B

9000088807

Level: 
B
Suppose we are given the following equality of two fractions with nonzero denominators. From the given expressions, choose the one that by substituting to the starred position makes the equality true. \[ \frac{3 - 2x} {x - 2} = \frac{3(4x^{2} - 12x + 9)} {*} \]
\((3x - 6)(3 - 2x)\)
\((x - 2)(2x - 3)\)
\((x - 2)(9 - 4x)\)
\((3x - 6)(2x - 3)\)

9000086601

Level: 
B
Determine the truth values of propositions \(a\) and \(b\) if you know that the compound proposition \[ \neg (a \vee b) \] is true.
Both statements are false.
Both statements are true.
The statement \(a\) is true, \(b\) is false.
The statement \(a\) is false, \(b\) is true.

9000086602

Level: 
B
Determine the truth values of propositions \(a\) and \(b\) if you know that the compound proposition \[ \neg a \vee b \] is false.
The statement \(a\) is true, \(b\) is false.
Both statements are true.
The statement \(a\) is false, \(b\) is true.
Both statements are false.

9000086604

Level: 
B
Determine the truth values of propositions \(a\) and \(b\) if you know that the compound proposition \[ \neg (a \wedge \neg b) \] is false.
The statement \(a\) is true, \(b\) is false.
Both statements are true.
The statement \(a\) is false, \(b\) is true.
Both statements are false.

9000086605

Level: 
B
Determine the truth values of propositions \(a\) and \(b\) if you know that the compound proposition \[ \neg a\implies \neg b \] is false.
The statement \(a\) is false, \(b\) is true.
Both statements are true.
The statement \(a\) is true, \(b\) is false.
Both statements are false.

9000086607

Level: 
B
Determine the truth values of propositions \(a\) and \(b\) if you know that the compound proposition \[ (\neg a \vee b) \wedge a \] is true.
Both statements are true.
The statement \(a\) is true, \(b\) is false.
The statement \(a\) is false, \(b\) is true.
Both statements are false.