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guapka [62]
2 years ago
7

Enter an inequality that represents the phrase "the sum of 4 and y is less than 6." Draw a graph that represents the inequality.

Mathematics
1 answer:
mr_godi [17]2 years ago
3 0

9514 1404 393

Answer:

  4 + y < 6

  see attached for a graph

Step-by-step explanation:

The English description "the sum of A and B" is written symbolically as ...

  A + B

The symbol for "is less than" is <.

Then "the sum of 4 and y is less than 6" will be written ...

  4 + y < 6

__

The solution to this is found by subtracting 4 from both sides of the inequality:

  4 +y -4 < 6 -4

  y < 2 . . . . . . . . . simplified solution

The graph of this is a number line with an open circle at y=2, and shading to the left of that point, where values on the number line are less than 2.

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The blue dot is at what value on the number line? 8 12
Reptile [31]

8 and 12 are separated by 1 line, and they have a difference of 4 units, so..

count every two lines and add 4 units

this means that the blue dot is 20

7 0
3 years ago
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Which number line represtents the solution to |x+4|=2?​
vlada-n [284]

Answer:

Points -2 and -6 on the number line are the two solutions.

Step-by-step explanation:

Use the definition of absolute value as a starting point

|x|=x\,\,\mbox{for}\,\,x\geq 0\\|x|=-x\,\,\mbox{for}\,\,x

To solve the equation, you need to treat the two cases as above:

|x+4|=x+4=2\,\,\,\mbox{for}\,\,x+4\geq 0\implies x\geq -4\\x+4=2\implies x=-2

The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:

|x+4|=-(x+4)=2\,\,\,\mbox{for}\,\,x+4< 0\implies x

Again, the second solution -6 complies with the requirement that x<-4, so it is valid.

7 0
3 years ago
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Ksju [112]

Answer:

D. 4\sqrt{3} in

Step-by-step explanation:

Hope this helps!

7 0
3 years ago
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Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below her.
Paul [167]

Answer:

98 or 105

Step-by-step explanation:

3 0
2 years ago
Using the digits 1, 2, 3, 4, 5, 6, 7, and 9, make 4 two-digit prime numbers. What is the sum of those four prime numbers?
mr_godi [17]

Answer:

13, 17, 19, and 23

Step-by-step explanation:

13+17+19+23=72

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3 years ago
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