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garri49 [273]
3 years ago
12

Solve the inequality. 4x + 1 < 8x - 3 < 4x + 5

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
3 0

Answer:

1 <x <2

Step-by-step explanation:

4x + 1 < 8x - 3 < 4x + 5

Split into two inequalities

4x + 1 < 8x - 3           and        8x - 3 < 4x + 5

Do the first one first

4x + 1 < 8x - 3

Subtract 4x from each side

4x -4x + 1 < 8x-4x - 3

1 < 4x-3

Add 3 to each side

1+3 < 4x-3+3

4 < 4x

Divide by 4

4/4 <4x/4

1 <x

Now the other

8x - 3 < 4x + 5

Subtract 4x from each side

8x -4x-3 < 4x+5-4x

4x-3 < 5

Add 3 to each side

4x-3+3 < 5+3

4x<8

Divide by 4

4x/4 <8/4

x <2

Put them back together

1 <x <2

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98 Points And Brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!A poll asked 15 men in two age groups, 30 and younger and older than 3
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The first thing you need to do is classify all the men into 4 groups which are:
1) 30 and younger with facial hair: 4
2) older than 3 with facial hair: 5
3) 30 and younger with facial hair: 3
4) older than 30 without facial hair: 4


Question (a): Make a two-way table of the data. Of the men surveyed, how many were 30 and younger? How many did not have facial hair.

                                   with facial hair          without facial hair          total
30 & younger                         4                                     3                          7
older than 30                         5                                     3                          8
total                                        9                                    6                          15
From the data you can see that:
7 men were 30 and younger and 6 men did not have facial hair.


Question (b): Create a two-way relative frequency table that displays the relative frequency of the men 30 and younger and of the men older than 30 who had or did not have facial hair. Express your answer as decimals written to three decimal places.

                               with facial hair          without facial hair          total
30 and younger             4/15                           3/15 = 1/5                 7/15
older than 30             5/15 = 1/3                      3/15 = 1/5                 8/15
total                            9/15 = 3/5                      6/15 = 2/5                   1


Question c: What percent of men older than 30 had facial hair?
The percent is equal to the relative frequency times 100% so in this case it is equal to (1/3) * 100% = 33.33%

Hope this helps!!!   :)
3 0
3 years ago
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