Question

A company that manufactures golf balls needs to ship boxes of balls containing 690 golf balls, plus or minus 6 balls. Let g represent the number of golf balls in each box. Write a compound inequality that expresses the acceptable number of golf balls in each box.

A) 684 ≤ g ≤ 696
B) 684 < g < 696
C) 684 ≤ g < 696
D) 684 < g ≤ 696

Answer 1

The acceptable number of golf balls in each box, represented as g, is expressed by the compound inequality 684 ≤ g ≤ 696.

Step-by-step explanation:

The student is asked to express the acceptable number of golf balls in each box using a compound inequality. The company requires that each box contains 690 golf balls, plus or minus 6 balls. This means the number of golf balls (g) should be no less than 690 minus 6 (684) and no more than 690 plus 6 (696). Therefore, the compound inequality that represents the acceptable number of golf balls in each box is: 684 ≤ g ≤ 696. This inequality includes both endpoints, meaning that it is acceptable for there to be exactly 684 or 696 balls in a box, hence the 'less than or equal to' signs.