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DENIUS [597]
3 years ago
11

Find the integer solutions that

Mathematics
1 answer:
kaheart [24]3 years ago
8 0

Given:

The compound inequality is:

2

To find:

The integer solutions that satisfy the given inequality.

Solution:

We have,

2

Subtracting 5 from each side, we get

2-5

-3

All the real numbers between -3 and 2 are in the solution set but -3 and 2 are not included in the solution set.

The integers between -3 and 2 are -2, -1, 0, 1.

Therefore, the integer solution of the given inequality are -2, -1, 0, 1. The answer as an inequality is -3.

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Consider the matrix <img src="https://tex.z-dn.net/?f=A_%7B4x4%7D%2C%20det%28A%29%20%3D%20-2" id="TexFormula1" title="A_{4x4}, d
Lerok [7]

We found a counterexample, so the statement is false.

<h3>Is the statement true?</h3>

Let's use the matrix:

\left[\begin{array}{cccc}-2&0&0&0\\0&1&0&0\\0&0&1&0\\ 0&0&0&1 \end{array}\right]

This is a 4x4 matrix with determinant equal to -2.

The inverse matrix is:

\left[\begin{array}{cccc}1/2&0&0&0\\0&-1&0&0\\0&0&-1&0\\ 0&0&0&-1 \end{array}\right]

If we multiply it by 2, we get:

\left[\begin{array}{cccc}1&0&0&0\\0&-2&0&0\\0&0&-2&0\\ 0&0&0&-2 \end{array}\right]

The adjoint of that is the original matrix, actually:

\left[\begin{array}{cccc}-2&0&0&0\\0&1&0&0\\0&0&1&0\\ 0&0&0&1 \end{array}\right]

Which we already know, has a determinant of -2.

So the statement is false, as we found a counterexample.

If you want to learn more about matrices:

brainly.com/question/11989522

#SPJ1

7 0
2 years ago
Simplify.
g100num [7]
Slimplify 2-2/3 to 4/3

1/2*2-6*4/3

slimplify 1/2*2 to 1

1-6*4/3

slimplify 6*4/3 to 24/3

1-24/3

slimplify 24/3 to 8

1-8

slimplify

-7
3 0
4 years ago
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Follow these steps to apply what you have learned about the angles of a triangle.
cupoosta [38]

YOUR ANSWER IS IN THE ATTACHMENT PLZZ REFER TO THE ATTACHMENT

4 0
3 years ago
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Please answer asap, i'll give brainliest
kogti [31]

Answer:

it's B

Step-by-step explanation:

8 0
4 years ago
Write the percent as a fraction or mixed number in simplest form.
lord [1]

Answer:

\frac{29}{40}

72.5% As a Fraction

= \frac{0.725*1000}{1*1000}

=\frac{725}{1000}

=\frac{725/25}{1000/25}

=\frac{29}{40}

:) I hope this helped you

5 0
3 years ago
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