Chapter 1.1, Problem 23E

To determine

Match the (a) – (f) with (i) – (vi).

a. $a>3$

b. $\left|a-5\right|<\frac{1}{3}$

c. $\left|a-\frac{1}{3}\right|<5$

d. $\left|a\right|>5$

e. $\left|a-4\right|<3$

f. $1\le a\le 5$

i. a lies to the right of 3.

ii. a lies between 1 and 7.

iii. The distance from a to 5 is less than $\frac{1}{3}$.

iv. The distance from a to 3 is at most 2.

v. a is less than 5 units from $\frac{1}{3}$.

vi. a lies either to the left of $-5$ or to the right of 5.