asked 16.8k views
5 votes
How many solutions does x/6=4 have

asked
User Feiteira
by
8.4k points

1 Answer

5 votes

Answer:

There are 2 solutions.

Step-by-step explanation:

With absolutes, there are (usually) two solutions

Step-by-step explanation:

(1)

x ≥ 6 → x − 6 ≥ 0

the brackets don't have to do their work:

x − 6 = 4 → x =10

(2)

x < 6 → x − 6 < 0

the brackets flip the sign:

− (x − 6) = 4 → − x + 6 = 4 → x = 2

Answer:

x = 2 or x = 10

answered
User Marat Tanalin
by
8.4k points

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