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DiKsa [7]
3 years ago
5

Solve 2x - 8 < 7.

Mathematics
1 answer:
professor190 [17]3 years ago
7 0

Answer:

<h2>{x | x < 15/2}</h2>

Step-by-step explanation:

2x - 8 < 7            <em>add 8 to both sides</em>

2x - 8 + 8 < 7 + 8

2x < 15       <em>divide both sides by 2</em>

2x : 2 < 15 : 2

x < 15/2

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_____

<em>Comment on using a calculator</em>

If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.

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It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...

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Answer:

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