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Sav [38]
3 years ago
6

How do I solve this?

Mathematics
1 answer:
andreev551 [17]3 years ago
4 0

Answer:

x is in the range [-1,4]

Step-by-step explanation:

I haven't worked with absolute value inequalities in awhile, but let's take a wack at this.

We are given the following inequality:

| 2x - 3 | <= 5

This implies two possible cases:

[1] -5 <= 2x -3

Or

[2] 2x - 3 <= 5

So let's solve x for both of these cases:

[1] -5 <= 2x - 3

 -2 <= 2x

 -1  <= x

[2]  2x - 3 <= 5

 2x <= 8

  x <= 4

So from these cases, we can say the following is true:

x >= -1  and x <= 4

Thus, we can write this in the form

-1 <= x <= 4

Or in interval notation:

{ x is element of reals | -1 <= x <= 4}

Also written as

x is in the range [-1,4]

Where the closed brackets represent 1 and 4 as possible answers whereas parenthesis would imply they were not.

Cheers.

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~JZ
Hope it helps.
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What value of k makes the statement true?<br> x² (2x³ + 7x²yª) = 2xªyª + 7x³y8?
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By apply the distributive property of multiplication, the value of k which makes the statement true is 1.

<h3>What is the distribution property?</h3>

Mathematically, the distributive property of multiplication is given by tis expression:

x(y + z) = xy + xz.

Next, we would apply the distributive property of multiplication to the given equation by distributing to the left-hand side using xy⁴:

k(2x⁴y⁴ + 7x³y⁸) = 2x⁴y⁴ + 7x³y⁸

Dividing both sides by the common factor, we have:

k = (2x⁴y⁴ + 7x³y⁸)/(2x⁴y⁴ + 7x³y⁸)

k = 1.

In conclusion, the value of k which makes the statement true is 1.

Read more on distributive property here; brainly.com/question/2807928

#SPJ1

<u>Complete Question:</u>

What value of k makes the statement true?

x^ky⁴(2x³ + 7x²y⁴) = 2x⁴y⁴ + 7x³y⁸

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D. x doesn't repeat, it's a function



answer is B
7 0
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