Modulus equations questions for practice

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1. |2x + 1| - 3|x| = 2|x - 1|

a. x = 1
b. x < 1
c. x > 1
d. x \le 1


2. {2^{\left| y \right|}} - |{2^{y - 1}} - 1| = {2^{y - 1}} + 1, then y belongs

a. ( - \infty , - 1]\bigcup {\{ 1\} }
b. \{ - 1,1\}
c. \{ - 1\} \bigcup {[1,\infty )}
d. [ - 1,1]



3.|{2^{x + 1}} - 1| + |{2^{x + 1}} + 1| = {2^{|x + 1|}}, then x equals

a. 2
b. -1
c. -2
d. 1

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