The diameter x (in inches) of a batch of ball bearings manufactured by PAR Manufacturing satisfies the inequality What is the smallest diameter a ball bearing in the batch can have?
A) 0.4 inches
B) 0.46 inches
C) 0.47 inches
D) 0.43 inches
E) 0.45 inches

Question

The diameter x (in inches) of a batch of ball bearings manufactured by PAR Manufacturing satisfies the inequality  What is the smallest diameter a ball bearing in the batch can have?
A) 0.4 inches 
B) 0.46 inches 
C) 0.47 inches 
D) 0.43 inches 
E) 0.45 inches

Quizplus · Accepted Answer

To find the smallest possible diameter for the ball bearing, we need to find the smallest value of x that satisfies the inequality.

We can start by subtracting 0.4 from both sides of the inequality:

0.04x - 0.23 ≥ 0.17 - 0.4

Simplifying:

0.04x - 0.23 ≥ -0.23

Adding 0.23 to both sides:

0.04x ≥ 0

Dividing both sides by 0.04:

x ≥ 0

Since the diameter of the ball bearing must be positive, the smallest possible diameter is 0.43 inches.

Therefore, the answer is D) 0.43 inches.

The Diameter X (In Inches) of a Batch of Ball