325,970 views
20 votes
20 votes
Rewrite without absolute value for the given conditions: y =|x −3|+|x +2|−|x −5|, if x >5

User Alexander Pivovarov
by
2.9k points

1 Answer

12 votes
12 votes

9514 1404 393

Answer:

y = x + 4

Explanation:

For x > 5, the expressions in each absolute value argument are all positive, so we can simply remove the bars and sum the terms.

y = x - 3 + x + 2 - x + 5

y = x +4

Rewrite without absolute value for the given conditions: y =|x −3|+|x +2|−|x −5|, if-example-1
User Lingaraj R M
by
2.4k points