## College Algebra (10th Edition)

$a.\quad$ acceptable. $b.\quad$not acceptable.
a. Does $x=2.999$ satisfy $|x-3|\leq 0.01\quad ?$ $|2.999-3.000|=|-0.001|=0.001.$ Since $0.001\leq 0.010$, the radius $2.999$ is acceptable. b. Does $x=2.89$ satisfy $|x-3|\leq 0.01\quad ?$ $|2.89-3.00|=|-0.11|=0.11.$ Since $0.11\gt 0.01$, the radius $2.89$ is not acceptable