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Naddik [55]
1 year ago
10

Explain the difference between an inequality with OR and an inequality with AND.

Mathematics
1 answer:
maksim [4K]1 year ago
4 0

Inequality with OR: We use OR when you have two or more cases that could or not happen at the same time, for example with inequalities when you have an OR you use the union of the sets given by the inequalities. for example if we have the following two inequalities

x\ge1\text{ or x}\leq0

it will represent the union of the set of numbers that are greater than one with the set of the numbers that are less than zero.

Inequality with AND: We use AND when you need that all the conditions holds at the same time (here is not accepted that only one holds) for example with inequalities when you have AND you need to use the intersection of the sets given by the inequalities. For example:

x\ge2\text{ AND x}\leq10

will represent the intersection of the set of number that are greater than two and less than ten AT THE SAME TIME

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Yakvenalex [24]

Answer:

  AH = 1 or 4

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Step-by-step explanation:

An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...

  AH/BH = BH/CH

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The problem statement tells us AH + CH = AC = 5, so we can write

  AH·(5 -AH) = BH²

  AH·(5 -AH) = 2² = 4

This gives us the quadratic ...

  AH² -5AH +4 = 0 . . . . in standard form

  (AH -4)(AH -1) = 0 . . . . factored

This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.

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3 years ago
Each side of a cube 2.5 cm long. what is the volume?
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V ≈ 15.63cm^3

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<em>Hoped this helped!</em>

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Answer:

The function would be

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Step-by-step explanation:

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