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3 years ago

Solve the inequality -7x >21. What is the graph of the solution

Mathematics

2 answers:

Anni [7]3 years ago

5 0

Answer:

-3 > x

Explanation:

-7x > 21

___ ___

-7 -7

x < -3

Now, whenever we divide or multiply by a negative, we reverse the inequality symbol.

In order to graph this, you do what I call the zero-interval test, which in this case, we plug in 0 for x, and determining whether the statement is false or true, determines which side we shade:

0 < -3 [Since this is a false statement, instead of shading to the right, we shade to the left.]

I am joyous to assist you anytime.

umka21 [38]3 years ago

3 0

Answer:

After solving the inequality -7x >21 the answer is x < -3

Step-by-step explanation:

Solve the inequality -7x >21. What is the graph of the solution

Solving:

-7x > 21

Multiply both sides by -1

The inequality sign is reversed

7x < - 21

Now divide both sides by 7

7x / 7 < -21/7

x < -3

The graph is attached in the figure below.

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3 years ago

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atroni [7]

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3 years ago

Read 2 more answers

Find the domain of the function algebraically: <img src="https://tex.z-dn.net/?f=R%28x%29%3D%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D

BigorU [14]

The domain of the function is all real numbers except 2 and -1

Step-by-step explanation:

Domain is the set of inputs of a function on which the function is defined.

Given function is:

$R(x) = \frac{x}{x^2-x-2}$

In case of a function involving fraction, the function is undefined if the denominator is zero so in order to find the domain of the function algebraically , we have to find the values on which the function will be undefined

$x^2-x-2 = 0\\x^2-2x+x-2 = 0\\x(x-2)+1(x-2) = 0\\(x+1)(x-2) = 0\\x+1 = 0 => x=-1\\x-2=0 = > x=2$