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Need help dont know how to do this-example-1

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The solution to the inequality, |v + 3| ≤ 3 is v ≤ 0 or v ≥ -6, and is shown below in the graph.

How to solve an inequality?

To solve the inequality |v + 3| ≤ 3, we can consider two cases:

1. When v + 3 is non-negative ( v + 3 ≤ 0 ):

v + 3 ≤ 3

Solving for v:

v ≤ 0

2. When v + 3 is negative (v + 3 < 0):

-(v + 3) ≤ 3

Solving for v:

-v - 3 ≤ 3

-v ≤ 6

v ≥ -6

So, combining both cases, the solution to |v + 3| ≤ 3 is v ≤ 0 or v ≥ -6. The graph is shown below.

Need help dont know how to do this-example-1
User Aamish Baloch
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