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Sophie [7]
2 years ago
7

Solve and graph the absolute value inequality: |2x + 4| > 14. number line with open circles on negative 9 and 5, shading goin

g in the opposite directions. number line with open circles on negative 9 and 5, shading in between. number line with closed circles on negative 9 and 5, shading going in the opposite directions. a number line with open circles on negative 5 and 5, shading going in the opposite directions.
Mathematics
1 answer:
Rudiy272 years ago
6 0
<span>|2x + 4| > 14

⇒ 2x + 4 > 14 or 2x + 4 < -14

⇒ 2x > 14 - 4 or 2x < -14 - 4

⇒ 2x > 10 or 2x < -18

⇒ x > 5 or x < -9

The graph will be a </span><span>number line with open circles on negative 9 and 5, shading going in the opposite directions.</span>
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<h3><em>Hey there today we will solve your problem,</em></h3>

Number 1

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<h3>Definitions</h3>
  • Vertical angles - <em>either of two angles lying on opposite sides of two intersecting lines.</em>

<em />

  • Linear Pair - <em>A linear pair is a pair of adjacent angles formed when two lines intersect.</em>

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Now we can solve Number 1, there is one pair of Vertical angles being ∠5 and ∠3

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Number 2

Since we know the definition of a Linear Pair we can solve this problem also, the only Linear Pair that we can choose out the ones give to us is ∠4 and ∠3, because they are adjacent.

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{\huge{\boxed{\mathfrak{Answer}}}

  1. ∠5 and ∠3

    2. ∠4 and ∠3

8 0
2 years ago
Which number line shows the solution set for |p-3|=9?
Mademuasel [1]

Answer:

Option b

p = -6 or p = 12

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function f(x) = |x|  x> 0 for all real numbers.

Then the equation:

|p-3| = 9 has two cases

(p-3) = 9    if h > 3  (i)

-(p-3) = 9    if h < 3 (ii)

We solve the case (i)

p = 9 + 3\\p = 12

We solve the case (ii)

-p +3 = 9\\p = 3-9\\p = -6

Then the solution is:

p = -6 or p = 12

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3 years ago
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A. The expression given in the question is

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I hope that this is the expression that you were looking for.

b. When x = 240, then

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3 years ago
Write numbers to make each line have the same sum
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Answer:

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Step-by-step explanation:

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