Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6?
1 answer:
<u>ANSWER</u>
<u>EXPLANATION</u>
The given compound inequality is
We need to simplify this inequality so that we can obtain x standing alone between the inequality signs.
We add 6 through out the inequality.
This simplifies to:
We now divide through by -3 and reverse the inequality sign.
We now simplify to get:
You might be interested in
Question:
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park.There is a point at (−6, 3) labeled Dog 1. There is a point at (−6, −3) labeled Dog 2.
Which statement best describes the relationship between the positions of the two players?
A.Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
B.Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
C.Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
D. Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Answer:
Option B: Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Explanation:
The position of the Dog 1 is (−6, 3).
The position of the Dog 2 is (−6, -3).
From the graph, we can see that the image of Dog 1 is reflected over x-axis. Because to reflect an image over x-axis, the signs of y-coordinate must be changed.
Hence, Option B is correct.
Thus, Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
