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tiny-mole [99]
2 years ago
14

|x-7|+5 is greater than or equal to 3

Mathematics
1 answer:
jonny [76]2 years ago
6 0
\large\begin{array}{l} \textsf{Solve the absolute value inequality:}\\\\ \mathsf{|x-7|+5\ge 3}\\\\ \mathsf{|x-7|\ge 3-5}\\\\ \mathsf{|x-7|\ge -2}\\\\\\ \textsf{Since absolute values always give a non-negative number,}\\\textsf{every real value for x satisfies the inequatily:}\\\\ \textsf{For all }\mathsf{x\in\mathbb{R},}\\\\ \mathsf{|x-7|\ge 0>-2}\\\\\\ \therefore~~\mathsf{|x-7|\ge 2}\\\\ \textsf{regardless of the value of x.} \end{array}


\large\begin{array}{l} \textsf{Solution set: }\mathsf{S=\mathbb{R}.} \end{array}


If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2180151


\large\textsf{I hope this helps. :-)}


Tags: <em>absolute value inequatily solve solution algebra</em>

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3 years ago
Alyssa scored x goals during the soccer game yesterday. Today she scored 3 times as many goals. She scored a total of 4 goals du
damaskus [11]

Answer:

Alyssa had scored 3 goals today.

Step-by-step explanation:

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Today she scored 3 times as many goals than yesterday.

So we can say that;

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framing in equation form we get;

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Dividing both side by 4 we get;

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6 0
3 years ago
Tim bought some 25 cent and some 29 cent stamps. He paid 7.60 dollars for 28 stamps. How many of each type of stamp did he buy?
Citrus2011 [14]

Answer:

25 cent stamps = 13 and 29 cent stamps = 15

Step-by-step explanation:

x = 25 cent stamps and y = 29 cent stamps

x + y = 28......x = 28 - y

0.25x + 0.29y = 7.60

0.25(28 - y) + 0.29y = 7.60

7 - 0.25y + 0.29y = 7.60

-0.25y + 0.29y = 7.60 - 7

0.04y = 0.60

y = 0.60 / 0.04

y = 15 <===== 29 cent stamps

x + y = 28

x + 15 = 28

x = 28 - 15

x = 13 <===== 25 cent stamps

lets check it...

0.25x + 0.29y = 7.60

0.25(13) + 0.29(15) = 7.60

3.25 + 4.35 = 7.60

7.60 = 7.60 (correct..it checks out)

8 0
3 years ago
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