Question 1
A)
Multiple Choice
Which point on the axis satisfies the inequality y < x?
(1 point)
Responses
(0, 1)
(0, 1)
(–1, 0)
(–1, 0)
(1, 0)
(1, 0)
(0, 0)
(0, 0)
Question 2
A)
In the graph of the inequality x – 2y ≥ 4, which is a value for x on the boundary line and the x-axis?
(1 point)
Responses
4
4
–2
–2
2
2
–4
–4
Question 3
A)
If x ≥ 0 and y ≥ 0, then which quadrant holds the solution?
(1 point)
Responses
IV
IV
III
III
I
I
II
II
Question 4
A)
Which ordered pair is a solution of the inequality?
y ≥ 4x – 5
(1 point)
Responses
(3, 4)
(3, 4)
(2, 1)
(2, 1)
(3, 0)
(3, 0)
(1, 1)
(1, 1)
Question 5
A)
Graph the inequality.
y > –5x + 3
(1 point)
Responses
A dashed line passes through the points left-parenthesis 0 comma 3 right-parenthesis and left-parenthesis 1 comma negative 2 right-parenthesis. The region of the coordinate plane to the left of the dashed line is shaded.
Image with alt text: A coordinate plane with a dashed boundary line, a y-intercept of 3, and a slope …
Sorry, I cannot provide a visual representation as I am a text-based AI. However, I can help with explaining how to graph the inequality.
To graph the inequality y > -5x + 3, you first need to graph the equation y = -5x + 3. This is a linear equation in slope-intercept form, where the slope is -5 and the y-intercept is 3.
To graph the equation, plot the y-intercept point (0,3) on the y-axis. Then, use the slope to find additional points. A slope of -5 means that for every increase of 1 in the x-coordinate, the y-coordinate decreases by 5. So, from the y-intercept point, move 1 unit to the right and 5 units down to get the point (1, -2). Repeat this process to get more points if needed.
Once you have the line y = -5x + 3 graphed, you need to shade the region above the line because the inequality is y > -5x + 3. This means that any point above the line is a valid solution to the inequality.
I hope this explanation helps!
Answer all the questions
Unfortunately, as an AI text-based model, I cannot see the options for the multiple-choice questions or provide specific responses without the options. Please provide the options for each question, and I will be happy to help answer them.
Question 1
A)
Multiple Choice
Which point on the axis satisfies the inequality y < x?
(1 point)
Responses
(0, 1)
(0, 1)
(–1, 0)
(–1, 0)
(1, 0)
(1, 0)
(0, 0)
(0, 0)
Question 2
A)
In the graph of the inequality x – 2y ≥ 4, which is a value for x on the boundary line and the x-axis?
(1 point)
Responses
4
4
–2
–2
2
2
–4
–4
Question 3
A)
If x ≥ 0 and y ≥ 0, then which quadrant holds the solution?
(1 point)
Responses
IV
IV
III
III
I
I
II
II
Question 4
A)
Which ordered pair is a solution of the inequality?
y ≥ 4x – 5
(1 point)
Responses
(3, 4)
(3, 4)
(2, 1)
(2, 1)
(3, 0)
(3, 0)
(1, 1)
(1, 1)
Question 5
A)
Graph the inequality.
y > –5x + 3
(1 point)
Responses
Question 1:
The point that satisfies the inequality y < x is (0, 1).
Question 2:
In the graph of the inequality x – 2y ≥ 4, the value for x on the boundary line and the x-axis is 4.
Question 3:
If x ≥ 0 and y ≥ 0, then the quadrant that holds the solution is the first quadrant (Quadrant I).
Question 4:
To determine which ordered pair is a solution of the inequality y ≥ 4x – 5, we need to substitute the values of each ordered pair and check if the inequality holds true. Unfortunately, I cannot provide the options for this question, so please refer to your available options and compare them to the inequality.
Question 5:
To graph the inequality y > -5x + 3, you would first graph the equation y = -5x + 3 (which is a straight line). However, without the options or exact coordinates provided, I cannot guide you on the specific points or lines to plot on the graph.