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ehidna [41]
3 years ago
5

An inequality in one-variable is shown below.

Mathematics
1 answer:
34kurt3 years ago
4 0

Answer:

You wrote:

2*x + 4 = 14

This is not an inequality, so i guess that you wanted to write something like:

2*x + 4 ≥ 14

Now, this means that the left equation is always equal to or larger than 14.

Now, which type of problem this may represent?

Well, 2*x + 4 should represent something that is larger than 14, only that.

Then we can write something like:

"You have 4 dinosaur toys, and in the toy store near your house, they sell packs of 2 dinosaur toys. If you want to have at least 14 dinosaur toys, how many packs can you buy?"

Now x represents the number of packs that you buy.

2*x is the number of dinosaurs in these packs

2*x + 4 is the total number of dinosaurs that you have, when you also count the ones that you previously had.

2*x + 4 ≥ 14

Is the inequality that represents the problem.

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F is between E and G. EF=3X, EG= 11x-2, FG= 5x+16. Find the value of the variable
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Answer:

  x = 6

Step-by-step explanation:

The sum of segments is used:

  EF +FG = EG

  3x +(5x +16) = 11x -2 . . . . substitute given expressions

  8x +18 = 11x . . . . . . . . add 2

  18 = 3x . . . . . . . . subtract 8x

  6 = x . . . . . . divide by 3

The value of the variable is 6.

__

<em>Check</em>

The segment lengths are ...

  EF = 3x = 3·6 = 18

  FG = 5x+16 = 5·6 +16 = 46

  EG = 11x -2 = 11·6 -2 = 64 = 18+46 . . . answer is correct

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