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3 years ago

Determine if the set is the empty set. X | x > 7 and x < 10

Mathematics

2 answers:

Alex73 [517]3 years ago

8 0

HEY THERE!!

This is not an empty set because there can be any value in place of x from 7 to 10.

HOPE IT HELPED.

sveticcg [70]3 years ago

3 0

x > 7 x < 10

7 o---------------------o 10

This is not an empty set. x contains all of the values between 7 and 10.

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vlabodo [156]

Answer:

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Step-by-step explanation:

When we are given two points passing through a line, we can find the equation of the line by using two - point form.

Two - point form: $\frac{\textbf{y - y}_\textbf{1}}{\textbf{y}_{\textbf{2}} \textbf{-} \textbf{y}_{\textbf{1}}} = \frac{{\textbf{x - x}_\textbf{1}}}{\textbf{x}_{\textbf{2}} \textbf{-} \textbf{x}_{\textbf{1}} }$

where $(x_1, y_1) \hspace{3mm} \& \hspace{3mm} (x_2, y_2)$ are the points passing through the line.

Here, let us take two points (can be any two):

$(x _1, y_1) = (1, 5)$ and

$(x_2, y_2) = (5, 9)$

Therefore, we have:

$\frac{y - 5}{9 - 5} = \frac{x - 1}{5 - 1}$

$\iff \frac{y - 5}{4} = \frac{x - 1}{4}$

$\iff y - 5 = x - 1$

$\implies y = x - 1 + 5$

$\implies y = \textbf{x + 4}$ which is the required answer.

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Step-by-step explanation:

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Step-by-step explanation:

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