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Paraphin [41]
3 years ago
11

Hi.

Mathematics
1 answer:
pickupchik [31]3 years ago
3 0

Answer: 41. A) 0      42. B) 1/12       43. B) 16

<u>Step-by-step explanation:</u>

The pattern is: multiply the bottom row and subtract the top number.

Sample: 3 x 2 - 5 = 1

              5 x 3 - 6 = 9

              2 x 1 - 1 = 1

41) 7 x 13 - x = 91

         91 - x = 91

                x = 0

42)   1/2 x 1/2 - 1/6 = x

             1/4    - 1/6 = x

          3/12 - 2/12 = x

                     1/12 = x

Check the fractions. I had to guess what the denominators are because the image is blurry.                          

43)  8 x 3 - 8 - x

          24 - 8 = x

                16 = 0

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Answer:

increases

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Basically what is happening is:
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The solution set of the inequality x ≥ - 4 using set builder notation and interval notation is {x | x ∈ Z, - 4 ≤ x ≤ ∞ } and [ - 4, ∞ ) respectively.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

A set can be represented by its elements or the properties that each of its members must meet can be described using set-builder notation.

Interval Notation: A set of real numbers known as an interval contains all real numbers that fall inside any two of the set's numbers.

Consider the inequality,

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In the number line, the value of x is equal to and greater than - 4 increasing to infinity.

Therefore,

The solution set using the set builder notation is:

{x | x ∈ Z, - 4 ≤ x ≤ ∞ }

The solution set of the inequality using the interval notation is:

[ - 4, ∞ )

Learn more about set builder notation here:

brainly.com/question/13420868

#SPJ1

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