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podryga [215]
2 years ago
5

4x-7>17solve inequality

Mathematics
1 answer:
Vlad [161]2 years ago
8 0
We have to isolate x.
to do that we first have to add 7 to both sides
4x-7+7>17+7
now we have 4x>24
then we have to divide by 4 on both sides
4x/4>24/4
then we have the answer 
x>6
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Question
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The intervals are given as follows:

  • In range notation: [-282, 20,320].
  • In set-builder notation: {x|x ∈ ℝ, -282 <= x <= 20,320}

<h3>What is the range of elements notation for interval?</h3>

The range of elements notation for interval is given by:

[a,b].

In which:

  • a is the smallest value.
  • b is the greatest value.

In this problem these values are given by:

a = -282, b = 20,320.

Hence the interval in range notation is given by:

[-282, 20,320].

<h3>How to write the interval in set-builder notation?</h3>

The same interval can be written as follows, using set-builder notation?

{x|x ∈ ℝ, a <= x <= b}

Hence, for the situation described in this problem, the set-builder notation for the values is:

{x|x ∈ ℝ, -282 <= x <= 20,320}

More can be learned about notation of intervals at brainly.com/question/27896097

#SPJ1

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