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I need help with this problem.It say solve the following inequalities and graph it on the Number Line.

I need help with this problem.It say solve the following inequalities and graph it-example-1
User Arruda
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1 Answer

3 votes

Given the inequality:


13>-4x-7

• You can solve it as follows:

1. Apply the Addition Property of Inequality by adding 7 to both sides of the inequality:


13+(7)>-4x-7+(7)
20>-4x

2. Apply the Division Property of Inequality by dividing both sides of the inequality by -4 (since you are dividing both sides by a negative number, the direction of the inequality symbol changes):


\begin{gathered} (20)/(-4)<(x)/(-4) \\ \\ -53. You can rewrite the solution in this form:[tex]x>-5

• In order to graph the solution on the Number Line, you can follow these steps:

1. Since the symbol is:


>

You need to draw an open circle over the number -5.

2. Draw a line from the circle to the right.

Then, you get:

Hence, the answer is:

• Solution:


x>-5

• Number Line:

I need help with this problem.It say solve the following inequalities and graph it-example-1
I need help with this problem.It say solve the following inequalities and graph it-example-2
User Sagar Pise
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