Problema Solution
The following rule of thumb for determining an appropriate difference in age between a bride and a groom appears in many internet blogs: The younger spouse’s age should be at least seven more than half the age of the older spouse. Let b = the age of the bride, in years, and g = the age of the groom, in years. Write and graph the inequality equations that represent all combinations of ages that follow the rule of thumb.
Answer provided by our tutors
Since the younger spouse should always be at least half of the age of the older spouse plus seven years, two inequalities can be made relating the groom's age (g) to the bride's age (b):
g >= b/2 + 7
b >= g/2 + 7
If you wanted to graph these inequalities, you would have to have one variable be the x axis, and one be the y axis; let's put both inequalities in terms of the groom, so that the groom's age could be plotted on the x axis:
g >= b/2 + 7
g <= 2*b - 14
(>= is greater than or equal to, <= is less than or equal to)
You can plot these inequalities on a graph with g as the horizontal axis, and b as the vertical axis. The area that satisfies both inequalites (that is above the first line but below the second line) contains all of the appropriate bride ages for a given groom age.