- #1

name_ask17

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## Homework Statement

PROBLEM: Match the inequalities with the corresponding statements.

INEQUALITIES: 1) |a-5|< 1/3

2) |a- 1/3|< 5

STATEMENTS: a) The distance from a to 5 is less than 1/3

b) a is less than 5 units from 1/3

## The Attempt at a Solution

I solved for a for both problems and for both problems I am getting

**14/3 < a< 16/3**.

My problem is that since I am getting the same solution for both problems, then

**aren't both the statements (a and b) correct for both of the inequalities?**Or am I getting the wrong answers when I solve the inequalities? Please advise if you see the problem. Thanks in advance.