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2 years ago

How do you solve the compound inequality?

Mathematics

1 answer:

NikAS [45]2 years ago

6 0

Step-by-step explanation:

To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.

Hopes this helps.

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Lim x-1 x³-2x²+3x-2/(2x^4-3x+1)

UkoKoshka [18]

Since the limit becomes the undetermined form

$\displaystyle \lim_{x\to 1} \dfrac{x^3-2x^2+3x-2}{2x^4-3x+1} \to \dfrac{0}{0}$

it means that both polynomials have a root at $x=1$ . So, we can fact both numerator and denominator:

$x^3-2x^2+3x-2 = (x-1)(x^2-x+2)$

$2x^4-3x+1 = (x-1)(2x^3+2x^2+2x-1)$

So, the fraction becomes

$\dfrac{(x-1)(x^2-x+2)}{(x-1)(2x^3+2x^2+2x-1)} = \dfrac{x^2-x+2}{2x^3+2x^2+2x-1}$

Now, as x approaches 1, you have no problems anymore:

$\displaystyle \lim_{x\to 1} \dfrac{x^2-x+2}{2x^3+2x^2+2x-1} \to \dfrac{2}{5}$

4 0

2 years ago

I NEED HELP ASAP!!! PLEASE HELP ME!!!

mars1129 [50]

Answer:

X = 75

Step-by-step explanation:

Angle F and angle X are corresponding angles so they are congruent (equal)

Angle F and 105 form a straight line so they are supplementary angles, which means they add to 180

F+ 105 = 180

F = 180-105

F = 75

F = X = 75

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2 years ago

Insert <, >, or = between the fractions to make the sentence true. <br><br> 3/4 _____ 4/7

ratelena [41]

3/4 = .75
4/7 = .57

the answer is : 3/4 > 4/7

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Mazyrski [523]

10x=1/2x+3

I think it's right, but not 100% sure

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3 years ago

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Andru [333]

B is correct ..............

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