Answer:
Richard is older
Step-by-step explanation:
We can set up an inequality for both statements.
Let r equal Richard's age and s equal Sylvia's age.
"I am older than my wife."
Since Richard is speaking, the inequality would look like this:
r > s
This means Richard is older than Sylvia.
"I am younger than my husband."
Since Sylvia is speaking, the inequality would look like this:
s < r
This means that Sylvia is younger than Richard.
We can flip one inequality to "see" them from the same perspective.
Let's use s < r
To make it so that we can see the relationship from Richard's perspective, flip the entire inequality.
s < r
to
r > s
The inequality from the first quote is identical to this one!
Therefore, Richard is older than Sylvia.
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and 
. Any vector 
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, where 
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and 
.