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devlian [24]
3 years ago
11

Solve the inequality |x| < 5. {x|-5 < x < 5} {x|x < -5 ∪ x > 5} {x|x -5 ∪ x < 5}

Mathematics
1 answer:
sesenic [268]3 years ago
8 0

ANSWER

The correct answer is A

{x|-5}


<u>EXPLANATION</u>

|x|


This implies that

x


We solve the compound inequality to obtain,


x-5

Remember that, dividing through by negative 1 reverses the inequality sign

The solution set is

{x|-5}


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Mr. T's Tea store has two kinds of tea. Tea A costs $9 per pound and Tea B cost $6 per pound. How many pounds of each should be
harina [27]

Answer:

y=447.3 pounds

x= 297.3 pounds

Step-by-step explanation:

Step one:

given data

Tea A costs $9 per pound and

Tea B cost $6 per pound.

let the number of pounds of Tea A be x

and for Tea B be y pounds

The total cost of the mixture = $8 per pound

hence

9x+6y=8---------1

The total weight of the mixture

150 pounds

x+y=150-----------2

Step two:

9x+6y=8---------1

x+y=150---------2

from eqn 2 x=150-y

put x= 150-y in eqn 1

9(150-y)+6y=8---------1

1350-9y+6y=8

1350-8=9y-6y

1342=3y

divide both sides by 3

y= 1342/3

y=447.3 pounds

put y= 447.3 in eqn 2

x+447.3= 150

x= 150-446=7.3

x= -297.3

x= 297.3 pounds

3 0
2 years ago
Write a number between 40 and 60. The number is divisible by 6 and has exactly 10 factors.
marshall27 [118]
There is 60 but only jas 9 facrors
6 0
2 years ago
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A recipe calls for 350 milliliters of milk. Ms. Buback has exactly 0.5 liters of milk in her refrigerator. After she makes the r
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3 years ago
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Which set of measurements could be the side lengths of a triangle?
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We know that
Triangle Inequality Theorem establishes that the sum of the lengths of any two sides of a triangle<span> is greater than the length of the third side
</span>so
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5+11 > 7----> ok
11+7 > 5 ---> ok
5+7 > 11----> ok

case </span><span>B.10 m, 4 m, 5 m
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case </span><span>C.8 m, 4 m, 4 m
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case </span><span>D.6 m,11 m, 5 m
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the answer is
</span><span>A. 5M, 11M, 7M</span>
6 0
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