C

9000025810

Level: 
C
In the following list identify a true statement on the function \(f\). \[ f(x) = \frac{(x - 2)(3 - x)} {(2x - 1)(3x - 1)} \]
\(f(x)\geq 0 \iff x\in \left (\frac{1} {3}, \frac{1} {2}\right )\cup [ 2,3] \)
\(f(x)\geq 0 \iff x\in \left [ \frac{1} {3}, \frac{1} {2}\right ] \cup [ 2,3] \)
\(f(x)\geq 0 \iff x\in \left (-\infty , \frac{1} {3}\right )\cup \left [ \frac{1} {2},2\right ] \cup [ 3,\infty )\)
\(f(x)\geq 0 \iff x\in \left (\frac{1} {3}, \frac{1} {2}\right )\cup (2,3)\)

9000026006

Level: 
C
In the picture, the shaded region corresponds to the set of points that is the solution to one of the given systems of inequalities. Which of the systems is it?
\(\begin{aligned}x +\phantom{ 2}y&\geq 3 & \\y - 2x& < -1 \\ \end{aligned}\)
\(\begin{aligned}x +\phantom{ 2}y& > 3 & \\y - 2x& < -1 \\ \end{aligned}\)
\(\begin{aligned}x +\phantom{ 2}y&\leq 3 & \\y - 2x& < -1 \\ \end{aligned}\)
\(\begin{aligned}x +\phantom{ 2}y& < 3 & \\y - 2x& > -1 \\ \end{aligned}\)

9000026007

Level: 
C
In the picture, the shaded region corresponds to the set of points that is the solution to one of the given systems of inequalities. Which of the systems is it?
\(\begin{aligned}y & < 2 & \\y + 1&\geq x + 1 \\ \end{aligned}\)
\(\begin{aligned}y &\geq 2 & \\y + 1& < x + 1 \\ \end{aligned}\)
\(\begin{aligned}y & > 2 & \\y + 1&\leq x + 1 \\ \end{aligned}\)
\(\begin{aligned}y&\leq 2 & \\y& > x \\ \end{aligned}\)