Answer:
see attached
Step-by-step explanation:
No doubt you have seen that the tranformation that rotates a figure 270° CCW is the same as the one that rotates a figure 90° CW:
(x, y) ⇒ (y, -x)
This means the coordinate A(-3, 1) rotates to the position A'(1, 3). In this figure, that happens to coincide with point B.
When I drew this figure and the center of rotation O(0, 0), I was a little surprised to see the four points form a square. That makes it unsurprising that the point A gets rotated to point B by the desired transformation. (When you rotate a square 90° (or 270°) about one corner, an adjacent vertex (corner) will line up with the other adjacent vertex (corner).
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If you need to get a feel for rotations, so you can do this better in the future, it might be helpful to trace the figure (and the axes) onto a piece of tissue paper or tracing paper, then rotate it the necessary amount and see where the figure ends up.
This exercise may be easier with a print of the figure, but you can do it on a computer screen, too. (A touch screen makes it more difficult.)
The given inequality is
First we need to remove the absolute sign , and when we do so , we will get a compound inequality, that is
To solve for x, first we need to get rid of 10. and for that, we have to do subtraction
Now we need to get rid of 9, and for that, we do division
So the required solution is