C

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?
\(\begin{aligned}y & < 2 & \\y + 1&\geq x + 1 \\ \end{aligned}\)
\(\begin{aligned}y &\geq 2 & \\y + 1& < x + 1 \\ \end{aligned}\)
\(\begin{aligned}y & > 2 & \\y + 1&\leq x + 1 \\ \end{aligned}\)
\(\begin{aligned}y&\leq 2 & \\y& > x \\ \end{aligned}\)

9000026008

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?
\(\begin{aligned}2x - y&\leq 2 & \\2x + y&\geq - 2 \\ \end{aligned}\)
\(\begin{aligned}2x - y&\geq 2 & \\2x + y&\geq - 2 \\ \end{aligned}\)
\(\begin{aligned}2x - y&\leq 2 & \\2x + y&\leq - 2 \\ \end{aligned}\)
\(\begin{aligned}2x - y&\geq 2 & \\2x + y&\leq - 2 \\ \end{aligned}\)

9000026009

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?
\(\begin{aligned}2y -\phantom{ 2}x& < 4& \\x - 2y & < 2 \\ \end{aligned}\)
\(\begin{aligned}2y -\phantom{ 2}x& < 4& \\x - 2y & > 2 \\ \end{aligned}\)
\(\begin{aligned}2y - x& > 4 & \\2y - x& < -2 \\ \end{aligned}\)
\(\begin{aligned}2y - x& > 4 & \\2y - x& > -2 \\ \end{aligned}\)

9000026010

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?
\(\begin{aligned}x &\leq 3 & \\5x& < 9 - 3y \\ \end{aligned}\)
\(\begin{aligned}x & < 3 & \\5x& < 9 - 3y \\ \end{aligned}\)
\(\begin{aligned}x & > 3 & \\5x& < 9 - 3y \\ \end{aligned}\)
\(\begin{aligned}x &\leq 3 & \\5x& > 9 - 3y \\ \end{aligned}\)

9000025807

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

9000025808

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

9000025809

Level: 
C
In the following list identify a true statement on the function \(f\). \[ f(x)= \frac{(6x - 1)} {(x - 2)(3x + 1)} \]
\(f(x)\geq 0 \iff x\in \left (-\frac{1} {3}, \frac{1} {6}\right ] \cup (2,\infty )\)
\(f(x)\geq 0 \iff x\in \left (-\frac{1} {3}, \frac{1} {6}\right )\cup (2,\infty )\)
\(f(x)\geq 0 \iff x\in \left (-\infty ,-\frac{1} {3}\right )\cup \left [ \frac{1} {6},2\right )\)
\(f(x)\geq 0 \iff x\in \left [ -\frac{1} {3}, \frac{1} {6}\right ] \cup (2,\infty )\)