B

9000020901

Level: 
B
The solution of the given set of equations can be interpreted as the intersection of the curves shown in the figure. Find the solution of the system in \(\mathbb{R}\times \mathbb{R}\). \[ \begin{alignedat}{80} &2x^{2} & - &3y &^{2} & = 2 &4 & & & & & & & & \\ &2x & - &3y & & = &0 & & & & & & & & \\\end{alignedat}\]
\([-6,-4],\ [6,4]\)
\([-6,-4]\)
\([6,4]\)
no solution

9000020902

Level: 
B
The solution of the given set of equations can be interpreted as the intersection of the curves shown in the figure. Find the solution of the system in \(\mathbb{R}\times \mathbb{R}\). \[ \begin{alignedat}{80} &4x^{2} & + &y &^{2} & = &20 & & & & & & & & & \\ &2x & + &y & & = &6 & & & & & & & & & \\\end{alignedat}\]
\([1,4],\ [2,2]\)
\([2,2]\)
\([1,4]\)
no solution

9000021803

Level: 
B
Solve the following inequality. \[ (3x - 1)(2 - 4x) < 0 \]
\(x\in \left (-\infty , \frac{1} {3}\right )\cup \left (\frac{1} {2},\infty \right )\)
\(x\in \left (\frac{1} {3}, \frac{1} {2}\right )\)
\(x\in \left (-\infty , \frac{1} {2}\right )\)
\(x\in \left (\frac{1} {3},\infty \right )\)