307,691 views
7 votes
7 votes
Solve the inequality |x-1|+x<=5

User FaCoffee
by
2.5k points

1 Answer

11 votes
11 votes

Explanation:

1st solution

When x-1 is positive

x-1+x≤5

2x-1≤5

2x≤6

x≤3

x-1≥0

x≥1

Solution: x€[1,3]

2nd solution

When x-1 is negative

-(x-1)+x≤5

-x-1+x≤5

-1≤5

0≤5

x-1<0

x<1

Solution: x€(-infinity, 1)

User Maciej Lach
by
2.6k points
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