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KatRina [158]
3 years ago
11

Solve for X. −68 < 8x − 4 < −36

Mathematics
2 answers:
arsen [322]3 years ago
7 0
You want to get x in the middle by itself.

Add 4 to all pieces.

-68 < 8x-4 <-36
+4 +4 +4

-64<8x <-32

Divide everything by 8

-64/8<8x/8<-32/8

-8< x <-4

Answer:: all the number between -8 and -4 but not counting them
Aloiza [94]3 years ago
4 0

Answer:

The required solution is -8 in interval notation (-8,-4).

Step-by-step explanation:

Consider the provided inequality.

-68 < 8x - 4 < -36

We need to solve the inequity for x.

Add 4 to the provided inequality.

-68+4

Divide both the sides by 8.

-8

Thus, the value of x is greater than -8 but less than -4.

The required solution is -8 in interval notation (-8,-4).

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May I know the values of x and y of the following equation?<br>(5-3i)(x-yi) = 3(x+2yi)+1-2i​
gogolik [260]

Answer:

  (x, y) = (17/31, 1/31)

Step-by-step explanation:

Simplify the given equation, then equate real parts and equate imaginary parts. This will give you two equations in the two unknowns.

__

<h3>simplify</h3>

  (5 -3i)(x -yi) = 3(x +2yi) +1 -2i

 5x -5yi -3xi +3yi² = 3x +6yi +1 -2i

  (5x -3y) +i(-5y -3x) = (3x +1) +i(6y -2)

<h3>equate real, imaginary parts</h3>

This resolves to the two equations ...

  • 5x -3y = 3x +1
  • -5y -3x = 6y -2
<h3>solve the system</h3>

Putting these equations into general form gives ...

  2x -3y -1 = 0

  3x +11y -2 = 0

Using the "cross multiplication method" to solve these equations, we get ...

  x = ((-3)(-2) -(11)(-1))/(2(11) -3(-3)) = 17/31

  y = ((-1)(3) -(-2)(2))/31 = 1/31

The values of x and y that satisfy this equation are ...

  (x, y) = (17/31, 1/31)

_____

You can read more about the cross multiplication method here.

brainly.com/question/26397343

3 0
2 years ago
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