100 Day Summer Challenge

100 problems in 100 days. #100problems

Day 26

26 of 100: Triple Absolute

Algebra Level 1

\[ \large{\color{Purple}{y} =} \Huge| \huge| \Large| \large{\color{Blue}{x} - \color{Red}{10}} \Large| \large{+ \color{Red}{10}} \huge| \large{- \color{Red}{10}} \Huge| \large{+ \color{Red}{10}} \]

Given \(\color{Blue}{x}\) can be any real number, what is the smallest possible value of \(\color{Purple}{y}\)?

\( | \cdot | \) denotes the absolute value function. Test some values out if you're not sure what's going on.


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