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elixir [45]
3 years ago
10

Solve the inequality |6x + 2| < 10 and graph its solution.

Mathematics
1 answer:
hjlf3 years ago
6 0

Answer:

  -2 < x < 4/3

Step-by-step explanation:

A graphing calculator can show you the solution. I like to recast the equation as a comparison to zero, since a graphing calculator often can display zeros of a function easily. Here that means ...

  |6x +2| -10 < 0

___

If you want to solve this by hand, you can "unfold" the absolute value to get ...

  -10 < 6x +2 < 10

  -12 < 6x < 8 . . . . . . subtract 2

  -12/6 < x < 8/6 . . . . divide by 6

  -2 < x < 4/3 . . . . . . simplify

This graphs on the number line as a solid line between open circles at -2 and 4/3. On the attached graph, the boundary values are shown as dotted blue lines, and the solution space is shown in blue.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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How do I know when I need to use SSS or SAS in geometry? I'm having a lot of trouble understanding the difference and when to us
Pavel [41]
SSS = Side-Side-Side
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SAS  = Side-Angle-Side
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hope this helps :)




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2 years ago
In three to five sentences, explain the importance of sentence structures in good writing.
jenyasd209 [6]

Answer:

Sentence structure needs to simple, standalone, Grammarly justified and able enough to convey the writer thoughts and feelings clearly

Step-by-step explanation:

Sentence structure is very essential to convey the idea of the writer clearly. It is just like the skeleton of a write up and hence its framework needs to be clear and able enough to express the real sense. The structure of sentence needs to be complete with adequate grammar and punctuations. A good sentence must be able to express a complete idea  on its own.

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