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Anna71 [15]
2 years ago
8

Choose the solution set represented by the following graph.

Mathematics
2 answers:
olga55 [171]2 years ago
8 0

Answer:

The solution set represented by the following graph is:

                {x | x∈ R, x < -2}

Step-by-step explanation:

Clearly from the figure we could see that the solution set is to the left of ' -2' and excluding the point '-2' since there is a open circle at -2.

This means that -2 is not included in the set.

Also in interval; form the set of points that belong to the solution set are:

                      (-∞,-2)

in set-builder form it is written as:

                      {x | x∈ R, x < -2}

Stolb23 [73]2 years ago
3 0

Answer:

Option A.

Step-by-step explanation:

We need to find the solution set represented by the given graph.

From the given figure it is clear that there is an open circle around -2 and shaded region lie left side of -2.

Open circle around -2 represents that -2 is not included in the solution set.

Shaded area towards left of -2 represents that the solution must be less than -2. It means the sign of inequality is "<".

From the given graph it is clear that value of x lie in the interval (-∞,-2). So, the solution set is

\text{Solution set}=\{x|x\in R,x

Therefore, the correct option is A.

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5 0
3 years ago
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Agatha is five times older than her son bob. three years ago she was nine times older. how old is agatha?
Naya [18.7K]
Write an equation system based on the problem
"Agatha is five times older than her son, Bob" could be written as:
  a = 5b.......(first equation)
"Three years ago, she was nine times older" could be written as:
  a - 3 = 9(b - 3)......(second equation)

Solve the equation system
To find the value of b, substitute 5b as a to the second equation
a - 3 = 9(b - 3)
5b - 3 = 9(b - 3)
5b - 3 = 9b - 27
5b - 9b = -27 + 3
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To find Agatha's age, substitute the value of b to the first equation
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4 0
3 years ago
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masha68 [24]

Answer:

No there is not

Step-by-step explanation:

6 0
2 years ago
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How to factorised quadratics<br>in simple form thank you
photoshop1234 [79]

Answer:

ax²+ bx + c = 0

Step-by-step explanation

Multiplying (x+4) and (x−1) together (called Expanding) gets x2 + 3x − 4 :


expand vs factor quadratic


So (x+4) and (x−1) are factors of x2 + 3x − 4


Just to be sure, let us check:


(x+4)(x−1)  = x(x−1) + 4(x−1)

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Yes, (x+4) and (x−1) are definitely factors of x2 + 3x − 4




6 0
3 years ago
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