1103020104
Level:
C
Among the pictures below choose the one that shows the graphic solution of the inequality
\[ 1+2y\geq y-\frac{x-9}3 \]
in \( \mathbb{R}\times\mathbb{R} \).
Systems of linear equations and inequalities
1103020105
Level:
C
Among the pictures below choose the one that shows the graphic solution of the inequality
\[ x-\frac{y-5}2 \leq \frac{7+2x}2 \]
in \( \mathbb{R}\times\mathbb{R} \).
1103020106
Level:
C
In the picture, the shaded region corresponds to the set of points that is the solution to one of the given inequalities. Which inequality is it?
\( y > \frac32x+\frac{13}2 \)
\( y \geq \frac32x+\frac{13}2 \)
\( y < \frac32x+\frac{13}2\)
\( y \leq \frac32x+\frac{13}2\)
1103206301
Level:
C
Which one of the figures shows the solution of the following system of inequalities?
\[ \begin{aligned}
2x-y-8&\leq 0 \\
-x-y+2&\geq0 \\
x-1&\geq0 \\
\end{aligned} \]
2000006801
Level:
C
In the picture, the shaded region corresponds to the set of points that is the solution to one of the given inequalities. Which of the inequalities is it?
\(y \geq x+1\)
\(y \geq x-1\)
\(y \leq x+1\)
\(y \leq x-1\)
2000006802
Level:
C
In the picture, the shaded region corresponds to the set of points that is the solution to one of the given inequalities. Which of the inequality is it?
\(y \leq -2x\)
\(y \geq -2x\)
\(y \leq -\frac{x}2\)
\(y \geq -\frac{x}2\)
2000006803
Level:
C
In the picture, the shaded region corresponds to the set of points that is the solution to one of the given inequalities. Which of the inequality is it?
\[\begin{aligned}
y &\leq x+2
\\y &\geq x -2
\end{aligned}\]
\[\begin{aligned}
y &\leq x-2
\\y &\geq x+2
\end{aligned}\]
\[\begin{aligned}
y &\leq 2x+2
\\y &\geq 2x -2
\end{aligned}\]
\[\begin{aligned}
y &\leq 2x-2
\\y &\geq 2x +2
\end{aligned}\]
2000006804
Level:
C
In the picture, the shaded region corresponds to the set of points that is the solution to one of the given inequalities. Which of the inequalities is it?
\[\begin{aligned}
y &\leq x
\\y &\geq -x
\end{aligned}\]
\[\begin{aligned}
y &\leq - x
\\y &\geq x
\end{aligned}\]
\[\begin{aligned}
y &\leq x
\\y &\leq -x
\end{aligned}\]
\[\begin{aligned}
y &\geq x
\\y &\geq -x
\end{aligned}\]
2000017702
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?
\(\begin{aligned}
5x+8y& \leq 27 \\
9x+2y &< -15
\end{aligned}\)
\(\begin{aligned}
5x+8y &< 27 \\
9x+2y &\leq -15
\end{aligned}\)
\(\begin{aligned}
5x+8y &\geq 27\\
9x+2y &> -15
\end{aligned}\)
\(\begin{aligned}
5x+8y &> 27 \\
9x+2y &\geq -15
\end{aligned}\)
2000017703
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?
\(\begin{aligned}
3x-4y &>6\\
-1.5x+2y &< 5
\end{aligned}\)
\(\begin{aligned}
3x-4y &< 6\\
-1.5x+2y& < 5
\end{aligned}\)
\(\begin{aligned}
3x-4y &< 6\\
-1.5x+2y &> 5
\end{aligned}\)
\(\begin{aligned}
3x-4y &> 6\\
-1.5x+2y& > 5
\end{aligned}\)