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omeli [17]
2 years ago
6

What are the solutions of |x+6| greater than or equal to 5? Write the solutions as either the union or the intersection of two s

ets

Mathematics
1 answer:
sukhopar [10]2 years ago
8 0
We have that
<span> |x+6| >= 5
step 1
resolve for (x+6)>=5------> x>=5-6-------> x>= -1
the solution is the interval </span>(-1, ∞)
<span>
step 2
resolve for -(x+6) >=5------> -x-6 >=5----> -x >= 5+6---> -x>=11----> x<=-11
</span>the solution is the interval (-∞, -11)
<span>
using a graph tool
see the attached figure

the solution is the interval (-</span>∞, -11) ∩ (-1, ∞)

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