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Schach [20]
2 years ago
14

Solve the inequality. -12 < 1/2(x+16) < 18

Mathematics
1 answer:
lana66690 [7]2 years ago
3 0

Answer:

-40 < x < 20

Step-by-step explanation:

step 1: -12 < 1/2(x+16) < 18 --> Distribute

step 2: -12 < 1/2x + 8 < 18 --> subtract 8

step 3: -20 < 1/2x < 10 --> Multiply by 2

answer : -40 < x < 20

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Ben bought the enormous box of juice shown below. He drinks 450 cubic centimeters of juice each day. How many days does it take
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If AC = 4x-60 and BD = 30-x, find BD (GIVING BRAINLIEST)<br><br> The figure given is a rectangle
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12

Step-by-step explanation:

AC = BD (as the diagonal of the rectangle)

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Ipatiy [6.2K]

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Step-by-step explanation: The question gives a set of clues. In the first instance, the addition of two numbers equals 33. Let us assume the two numbers are A and B. What that means is that

A + B = 33.

We shall call this equation 1.

The other clue is given as “their difference is 23.” This can be expressed as

A - B = 23.

We shall call this equation 2.

Now we have a pair of simultaneous equations as follows

A + B = 33 —————-(1)

A - B = 23 —————-(2)

We shall use the substitution method

From equation (1), if we make A the subject of the equation we shall move B to the other side and we’ll have

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Substitute for the value of A in equation (2)

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33 - B - B = 23

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By collecting like terms we now have 33 - 23 = 2B

(Remember that when a positive value crosses to the other side of an equation, it becomes negative, and vice versa)

33 - 23 = 2B

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We can substitute for this value into equation 1, which is

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A = 28.

Therefore the numbers are 28 and 5.

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