Which is the graph of
3
m
−
5
<
4
?
A.
image
B.
image
C.
image
D.
image
The correct answer is D.
To solve this inequality, we need to graph the corresponding equation, first.
The equation 3m - 5 = 4 can be rearranged to:
3m = 9
Dividing both sides by 3 gives:
m = 3
So, the graph of the equation 3m - 5 = 4 is a vertical line passing through the point (3, 4).
Now, let's determine the inequality.
The inequality 3m - 5 < 4 means that the graph of the inequality is below the line.
Therefore, the correct graph is option C.
To determine which graph represents the inequality 3m - 5 < 4, we need to understand how to graph linear inequalities.
Step 1: Start by isolating the variable 'm' on one side of the inequality.
3m - 5 < 4
Add 5 to both sides:
3m < 9
Divide both sides by 3:
m < 3
Step 2: Graph the inequality on a number line. Since the inequality sign is "<" (less than), we use an open circle to indicate that the value of 'm' is not included in the solution. Then, we shade to the left of the open circle to represent all values less than 3.
Now, let's analyze each option:
A. Please provide an image for option A.
B. Please provide an image for option B.
C. Please provide an image for option C.
D. Please provide an image for option D.
Since no images were provided, I am unable to determine which graph represents the inequality. Please provide the images of the graphs (options A, B, C, and D) so that I can assist you further.