Let the Universal set be the letters a through j: U = {a, b, ..., i, j}.
1 answer:
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9514 1404 393
Answer:
see attached
Step-by-step explanation:
Translation 12 units down puts each point 12 units lower on the graph than the position where it is currently shown. Segment RS is now shown on the line y=9. It will be translated straight down so it appears on the line y = 9-12 = -3.
Similarly, T has a y-coordinate of 2. Translated down 12, it will have a y-coordinate of y = 2-12 = -10.
The x-coordinates of all of the points remain the same.
The translation is shown in the attachment.
Given:
The inequality is
To find:
The solution of the given inequality on the number line.
Solution:
We have,
Subtract 5.25 from both sides.
Multiply both sides by -1 and change the sign of inequality.
The value of b always less than or equal to -1.25. Since -1.25 included in the solution set, therefore there is a solid circle on -1.25.
-1.25 lies between -2 and -1. It means the solid circle lies between -1 and -2.
, so the number line is shaded from the circle to negative 5.
A number line going from negative 5 to positive 5 is the required solution if a solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.
Therefore, the correct option is A.