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Delvig [45]
3 years ago
8

Which of the following is the correct graph of the compound inequality 4p + 1 > −11 or 6p + 3 < 39?

Mathematics
2 answers:
adoni [48]3 years ago
5 0

Answer:

D. Number line with shading everywhere

1. p>-3

2. p<6

Step-by-step explanation:

1. 4p+1>-11

<em>Subtract by 1 both sides of equation.</em>

<em>4p+1-1>-11+1</em>

<em>Simplify.</em>

<em>4p>-12</em>

<em>Divide by 4 from both sides of equation.</em>

<em>4p/4>-12/4</em>

<em>Simplify, to find the answer.</em>

<em>-12/4=-3</em>

<em>p>-3 is the correct answer.</em>

<em>____________________________</em>

<em>2. 6p+3<39</em>

<em>Subtract by 3 from both sides of equatoin.</em>

<em>6p+3-3<39-3</em>

<em>Simplify.</em>

<em>39-3=36</em>

<em>6p<36</em>

<em>Divide by 6 from both sides of equation.</em>

<em>6p/6<36/6</em>

<em>Simplify, to find the answer.</em>

<em>36/6=6</em>

<em>p<6 is the correct answer.</em>

<u><em>D is the correct answer.</em></u>

photoshop1234 [79]3 years ago
4 0

Answer:

B. Number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right.

Step-by-step explanation:

Given compound inequality,

4p + 1 > −11 or 6p + 3 < 39,

4p > - 11 - 1 or 6p < 39 - 3

4p > -12 or 6p < 36

p > -3 or p < 6

⇒ -3 < p < 6

⇒ (-3 6)

That is, number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right.

Option 'B' is correct.

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Answer:

Please have a look at the table below.

Step-by-step explanation:

Element       frequency         Relative frequency  (percent)


1                     1                       1/24 =  0.042 = 4.2%


3                      2                       2/24 = 0.083  = 8.3%


4                       1                         1/24 = 0.042  = 4.2%


5                       1                          1/24 = 0.042  = 4.2%


6                       1                           1/24 = 0.042 = 4.2%


7                        2                         2/24 = 0.083 = 8.3%


8                        1                          1/24 = 0.042   = 4.2%


9                       2                           2/24 = 0.083  = 8.3%


10                       6                           6/24 = 0.25   = 25%


11                        1                            1/24 = 0.042 = 4.2%


12                       2                           2/24 = 0.083 = 8.3%


13                         2                           2/24 = 0.083 = 8.3%


14                         2                           2/24 = 0.083  = 8.3 %


                           ----------                                  --------


                              24                                         1


                             ---------


Hope you will understand this.


Thank you.


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