Answer
a. acceptable.
b. not acceptable.
Work Step by Step
The formula that describes acceptable ball bearings is:
$ |x-3|\leq 0.01$
We plug in the given radius values and if the inequality proves true, then the ball bearing is acceptable.
a. Since $|2.999-3|=0.001\le 0.01$, then the ball bearing of radius $x = 2.999$ is acceptable.
a. Since $|2.89 -3|=0.11\gt 0.01$, then the ball bearing of radius $x = 2.89$ is not acceptable.