Question

The circumference of a woman’s basketball must be between 28.5 in. and 29 in., inclusive. What is a compound inequality that could show this?

1. RobertKer
The ball should be BOTH greater than 28.5 AND less than 29 (although I don’t think it’s in inches…) Since it is not explicitly stated, let’s assume we’re talking about the basketballs diameter, D.

So now this may be written D > 28.5 and D < 29. Combining these two, we can write 28.5 < D < 29.

Also not explicitly stated is whether or not the basketball may be equal to 28.5 or 29. If, indeed, that is the case, then instead we may write this as D >= 28.5 and D <= 29, or combining, 28.5 <= D <= 29.
Hope this helps :D.

2. RobertKer
The compound inequality is 28.5 <= D <= 29.
It is required to find the compound inequality.

### What is compound inequality?

A compound inequality  is two or more inequalities joined together with or or and . To be a solution of an or inequality, a value has to make only one part of the inequality true. To be a solution of an and inequality, it must make both parts true. For example: x≤−3 or x>2.
Given:
The ball should be BOTH greater than 28.5 AND less than 29 (although I don’t think it’s in inches…) Since it is not explicitly stated, let’s assume we’re talking about the basketballs diameter, D.
According to given question we have,
So now this may be written D > 28.5 and D < 29. Combining these two, we can write 28.5 < D < 29.
Also not explicitly stated is whether or not the basketball may be equal to 28.5 or 29. If, indeed, that is the case, then instead we may write this as D >= 28.5 and D <= 29, or combining, 28.5 <= D <= 29.
Therefore, the compound inequality is 28.5 <= D <= 29.