Solve application of absolute value.  (a) develop a model that uses an absolute value ineq...

Solve application of absolute value.  (a) develop a model that uses an absolute value inequality, and (b) solve.

Tolerances for sport balls: According to the official rules for golf, baseball, pool, and bowling, (a) golf balls must be within 0.03 mm of d = 42.7 mm, (b) baseballs must be within 1.01 mm of d = 73.78 mm, (c) billiard balls must be within 0.127 mm of d = 57.150 mm, and (d) bowling balls must be within 12.05 mm of d = 2171.05 mm. Write each statement using an absolute value inequality, then (e) determine which sport gives the least tolerance tfor the diameter of the ball.