Answer:
d. y ≤ 3/4x -6
Step-by-step explanation:
3x -4y ≥ 24
-4y ≥ -3x +24 subtraction property
y ≤ 3/4x -6 division property (change the direction of the symbol)
Answer:
Part A
y ≤ 3/4x – 6
the last option
Part B
answer is in the attachment
Part C
(-2,-8)
(8,0)
(4,-4)
Step-by-step explanation:
Part A
Use the properties of inequalities to rewrite the inequality:
3x − 4y ≥ 24
-4y ≥ -3x + 24 subtraction property
y ≤ x – 6 division property (change the direction of the symbol)
Part B
Plot the boundary line, which will be solid because the inequality is non-strict. Use either the equation 3x − 4y = 24 or y=3/4x-6
Next, use a test point, such as (0,0), to determine where to shade:
3(0) − 4(0) ≥ 24
0 ≥ 24
The result is false, so shade on the opposite side of the boundary line.
Part C
Use the graph of the inequality to determine whether each point lies in the solution set.
For this non-strict inequality, any point in the shaded region or on the line is a solution. So (8,0), (4,-4), and (-2,-8) are all solutions to the inequality.
Please mark me brainiest ;)
