A compound inequality is an inequality that consists of two or more inequalities connected by the words "and" or "or". It is used to describe a range of values that satisfy both inequalities at the same time.
To write a compound inequality, you first identify the variable and the inequalities involved. Then, you use the appropriate inequality symbols (<, >, ≤, ≥) to connect the inequalities. Finally, you add the variable to the inequality to create the complete compound inequality.
"Fresh gale" wind speeds refer to a specific range of wind speeds that fall between 39-46 miles per hour. This is considered a strong wind that can cause minor damage and make activities like sailing difficult.
A compound inequality to describe "fresh gale" wind speeds would be 39 < x < 46, where x represents the wind speed in miles per hour. This means that the wind speed must be greater than 39 mph, but less than 46 mph to be considered a "fresh gale" wind speed.
Yes, a compound inequality can have more than two inequalities. For example, you may have a compound inequality that describes a range of temperatures by using three inequalities connected with "and" or "or".