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8_murik_8 [283]
4 years ago
5

From the set (1,2,3,4,5) which values make the inequality n+1> 4 true?

Mathematics
1 answer:
Pie4 years ago
4 0
1+1 = 2 > 4 is false.
2+1 = 3 > 4 is false.
3+1 = 4 > 4 is false.
4+1 = 5 > 4 is true.
5+1 = 6 > 4 is true.

Therefore, 4 and 5 make the inequality true.
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Rewrite the system of linear equations as a matrix equation AX = B.
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Answer:

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Step-by-step explanation:

Let's find the answer.

Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.

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Eq. 2 : x1 + x2 + x3 = 6

E1. 3 : 4x1 + 6x2 + 5x3 = 7

Coefficients for x1 ; x2 ; x3

From eq. 1 : 1 ; 2 ; 5

From eq. 2 : 1 ; 1 ; 1

From eq. 3 : 4 ; 6 ; 5

So matrix A is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]

And the vector of vriables (X) is:

\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]

Now we can find the resulting vector (B) using the 'resulting values' from each equation:

\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

In conclusion, AX=B is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

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