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romanna [79]
3 years ago
5

Solve a combined inequality that is a conjunction of two linear equalities.

Mathematics
1 answer:
deff fn [24]3 years ago
8 0

Answer:

  1. -10 < n < 8
  2. 5/4 < x ≤ 6

Step-by-step explanation:

1. Subtract 9:

  -10 < n < 8

__

2. Add 12, then divide by 8:

  10 < 8x ≤ 48

  10/8 < x ≤ 6

  5/4 < x ≤ 6 . . . . . with the fraction reduced

_____

The rules of equality allow us the do these operations, provided that we <em>do them to all parts</em> of the compound inequality. That is, when we say "subtract 9", we mean ...

  -1 -9 < 9 +n -9 < 17 -9

This simplifies to the inequality we show above:

  -10 < n < 8

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Flura [38]

Answer: 112 degrees

Step-by-step explanation: In this problem, we are trying to find the m<5.

Notice that <2 and <3 are vertical angles which means they are congruent.

So we know that the m<3 is 68 degrees.

Now, notice that <3 and <5 are same side interior angles because

they lie on the same side of the transversal and on interior of lines a and b.

Now, it's important to understand that

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Subtracting 68 from both sides, we have the m<5 = 112.

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3 years ago
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3 0
3 years ago
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olga nikolaevna [1]
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Gekata [30.6K]

It would be something that looks like this:

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3 0
3 years ago
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Lelu [443]

Answer:

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