Write an inequality represented by the graph below.
A. x ≤ 2
Correct! The closed circle at 2 and the arrow pointing to the left indicate x ≤ 2.
B. x ≥ 2
Incorrect. An arrow pointing to the left indicates either < or ≤.
C. x < 2
Incorrect. A closed circle on a graph indicates either ≤ or ≥.
D. x > 2
Incorrect. The arrow is pointing to the left and the circle is closed.
Write an inequality represented by the graph below.
A. x ≤ -8
Incorrect. The arrow is pointing to the right and the circle is open.
B. x ≥ -8
Incorrect. An open circle on a graph indicates either.
C. x < -8
Incorrect. An arrow pointing to the right indicates either > or ≥.
D. x > -8
Correct! The open circle at -8 and the arrow pointing to the right indicate x > -8.
Which inequality best represents the graph shown below?
A. y ≤ -x + 4
Incorrect. The inequality symbol, or less than, indicates the solutions to the inequality are not on the line.
B. y ≥ -x + 4
Incorrect. The inequality < symbol, or less than, indicates the solutions to the inequality lie below, but not on, the line.
C. y < -x + 4
Correct! The line graphed is y = -x + 4. The dashed line and shading below the line indicate that solutions to the inequality lie in the shaded area.
D. y > -x + 4
Incorrect. The inequality < symbol, or less than, indicates the solutions to the inequality lie below, but not on, the line.
Which of the following inequalities best describes the graph shown below?
A. y ≤ 2 3 x + 3
Correct! The line graphed is y = 2 3 x
B. y ≥ 2 3 x + 3
Incorrect. The inequality symbol, or less than or equal to, indicates the solutions to the inequality lie below, and on, the line.
C. y ≤ 2 3 x - 3
Incorrect. The y-intercept of the line is 3, not -3.
D. y ≥ 2 3 x - 5
Incorrect. The inequality symbol, or less than or equal to, indicates the solutions to the inequality lie below, and on, the line. Also, the y-intercept of the line is 3, not -5.
Which inequality best represents the graph shown below?
A. y ≤ - 1 2 x − 8
Incorrect. The inequality symbol, or greater than or equal to, indicates the solutions to the inequality lie below, and on, the line. Also, the y-intercept of the line is -4, not -8.
B. y ≥ - 1 2 x − 8
Incorrect. The y-intercept of the line is -4, not -8.
C. y ≤ - 1 2 x − 4
Incorrect. The inequality symbol, or greater than or equal to, indicates the solutions to the inequality lie above, and on, the line.
D. y ≥ - 1 2 x − 4
Correct! The line graphed is y ≥ - 1 2 x − 4. The solid line and shading above the line indicate that solutions to the inequality lie on the line and in the shaded area.
Which inequality best represents the graph shown below?
A. y > 3 5 x + 6
Correct! The line graphed is y > 3 5 x + 6. The dashed line and shading above indicate that the solutions to the inequality lie in the shaded area.
B. y ≥ 3 5 x + 6
Incorrect. The inequality symbol, or greater than, indicates the solutions to the inequality lie above the line.
C. y < 3 5 x + 6
Incorrect. The inequality symbol, or greater than, indicates the solutions to the inequality lie above the line.
D. y ≤ 3 5 x + 6
Incorrect. The inequality symbol, or greater than, indicates the solutions to the inequality lie above the line.