17. Use Mathematical induction to prove: 4 + 9 +14 +…..+(5n-1) = ( n/2) (5n+3)
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Step-by-step explanation:
Given
x = hours spent on cardiovascular work
y = hours spent on weight training
From the first statement,
Each week: he spends at least 9 hours
This is represented as:
From the second statement,
Each week: he spends a max of 12 hours on weights
This is represented as:
From the third statement,
Each week: he spends a max of 6 hours on cardio works
This is represented as:
So, the inequalities are:
See attachment for the graph where the solution are also highlighted
From the attachment, the solutions are:
