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strojnjashka [21]
1 year ago
13

Homework 3.4: Compound InequalitiesScore: 10.38/1811/18 answeredQuestion 6<>04Give the interval that describes the set of

values shown above.

Mathematics
1 answer:
Harrizon [31]1 year ago
6 0

Give the interval that describes the set of values shown above

The interval marked in blue has the following features:

* Starts with a filled blue dot at x=2

* Ends with a filled blued dot at x=4

* Runs from x=2 to x=4 with a blue line

The filled dots indicate that the endpoints are included in the interval

The line indicates that all the values in between the interval are included in the interval

There are two basic forms to indicate an interval with included endpoints:

* A pair of values (the endpoints) comma-separated included in a pair of brackets:

Interval: [2,4]

* The closed interval indicated by inequalities signs:

2\leq x\leq4

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Evgesh-ka [11]

Step-by-step explanation:

1.

- 2(3x + 7) = 32 - 4x \\ distribute \\  - 2 \times 3x =  - 6x \\  - 2 \times 7 =  - 14 \\  - 6x - 14 = 32 - 4x \\ add \: 4x \: to \: both \: sides \\  - 6x + 4x = 32 - 4x + 4x \\  - 2x = 32 \\ divide \: by \:  - 2 \\   \frac{ - 2x}{ - 2}  =  \frac{32}{ - 2}  \\  \\ x =  - 16

2.

4x + y = 3 \\  y =  - 4x + 3 \\ using \: point \: slope \: form \\ y - y1 = m(x - x1) \\ y + 6 =  - 4(x + 4) \\ y + 6 =  - 4x - 16 \\ y =  - 4x - 22

First equation: Your equation is given.

Second equation: Distribute by multiplying every number in the parentheses by the number outside it.

3rd equation: Combine like terms by adding 4x to both sides.

4th equation: Combine like terms by subtracting 14 from both sides.

5th equation: Divide both sides by -2, the coefficient of x.

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Answer:

Option D.

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If you do it for all the x's and y's you will have always 3.

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