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

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.

-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.]

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