What is the solution to the compound inequality 3x − 8 ≥ −5 and 2x − 7 < 5?
2 answers:
<h2>Answer:</h2>
The solution to the compound inequality is given by:
The compound inequality is given by:
and
- On solving the first inequality i.e.
on adding both side of the inequality by 8 we get:
Now on dividing both side of the inequality by 3 we get:
- The second inequality is given by:
On adding both side of the inequality by 7 we get:
on dividing both side of the inequality by 2 we get:
Hence, the solution of the compound inequality is:
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Answer:
- B from A: about 29°
- A from B: about 209°
Step-by-step explanation:
A bearing is measured clockwise from north. To do this measurement, we need to extend the line beteen A and B and extend the North-pointing line so they cross.* A protractor or other measuring tool is then used to measure the angle between the lines.
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In the attached, we have found the angle between these lines to be about 29°. This is the angle between north and B, as seen from A.
29° = bearing of B from A
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As seen from B, the angle is 180° more than the one of B from A. The bearing of A from B is ...
180° +29° = 209° . . . . . bearing of A from B
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* The angle measurement can be made between any set of lines that are coincident with or parallel to the north line and the line between A and B. In the attached, we attempted to maximize accuracy by using the lines on the figure, rather than creating parallel lines for the purpose of the measurement.
On a figure such as this, it is very difficult to get accuracy to even 0.1 degrees. For example, the geometry program that we used says the slope of the AB line is tangent(60.58°), so the bearing using that information is about 29.42°, not the 29.29° the same program reports as the measurement of the angle.
We don't have access to your original figure, and we can't account for any distortions that may have occurred in the copying and pasting of the image. Straight dilation will not change the angle, but most image reproduction processes have different scale factors in different directions, which will affect the angle measurement. YMMV
