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fenix001 [56]
2 years ago
5

Solve for linear inequality of x - 1 ≥ 4 + x​

Mathematics
1 answer:
defon2 years ago
8 0

\huge\bf{ANSWER:}

\huge\mathrm{No\:solution.}\checkmark

\huge\bf{SOLUTION}:

Hey there, hope you are having a wonderful day! :)

Let's solve this inequality.

First of all, let's move all the numbers to the right, using the \bf{\underline{opposite\:\:operation\:}:

\longmapsto\sf{x-1\geq 4+x

\longmapsto\sf{x\geq 4+x+1

\longmapsto\sf{x\geq x+5

Now, let's move the variables to the left:

\longmapsto\sf{x-x\geq 5

\longmapsto\sf{0\geq 5

Now, as you can see, we ended up with a false statement. 0 is NOT greater than 5.

Thus, there are no values of x that make the inequality true, and the inequality  has

\bold{No\:solutions.}

Hope you find it helpful.

Feel free to ask if you have any doubts.

\bf{-MistySparkles^**^*

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3 years ago
Let u,v,wu,v,w be three linearly independent vectors in R7R7. Determine a value of kk, k=k= , so that the set S={u−3v,v−2w,w−ku}
11Alexandr11 [23.1K]

Answer:

1/6

Step-by-step explanation:

For a set of vectors a, b and c to be linearly dependent, the linear combination of the set of vectors must be zero.

C1a + C2b + C3c = 0

From the question, we are given the set S={u−3v,v−2w,w−ku}, the corresponding vectors are a(0, -3, 1), b(-2,1,0) and c(1,0,-k)

The values in parenthesis are the ccoefficients of w, v and u respectively.

On writing this vector as a linear combination, we will have;

C1(0, -3, 1) + C2(-2,1,0) + C3(1,0,-k) = (0,0,0)

0-2C2+C3 = 0........ 1

-3C1+C2 = 0 ........... 2

C1-kC3 = 0 ….......... 3

From equation 2, 3C1 = C2

Substituting into 1, -2(3C1)+C3 = 0

-6C1+C3 = 0

-6C1 = -C3

6C1 = C3.…..4

Substitute 4 into 3 to have

C1-k(6C1) = 0

C1 = k6C1

6k = 1

k = 1/6

Hence the value of k for the set of vectors to be linearly dependent is 1/6

6 0
2 years ago
Five to the 25th power equals what
Svetllana [295]

Answer:

2.9802322e+17

Step-by-step explanation:

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40% of students enjoy playing Among us. If 100 students enjoy playing Among us, how many students are there?
Luba_88 [7]

Answer:

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Step-by-step explanation:

40%= 100

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100%= 250

6 0
3 years ago
Read 2 more answers
In this diagram, each square represents 1 km. What is the displacement of the car?​
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Explanation:

With displacement, all we care about is the beginning and end. We don't care about the middle part(s) of the journey. So we'll take the straight line route from beginning to end when it comes to computing displacement.

We start at A(0,0) and end at B(-2,0). Going from A directly to B has us go 2 km west. Keep in mind that displacement is a vector, so you must include the direction along with the distance.

8 0
3 years ago
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