The solution to the given inequality as represented in the task content are; z < - 1.00485413 OR z > 1.00485413.
<h3>What is the solution to the given inequality?</h3>
It follows from the task content that the solution of the given inequality; ( 29 / 289z ) < ( 16 / 161 ) z is to be determined.
Since the given inequality is;
( 29 / 289z ) < ( 16 / 161 ) z
By cross multiplication; we have;
161 × 29 < ( 16z × 289z )
( 161 × 29 ) / ( 16 × 289 ) < z²
1.00973183 < z²
Therefore;
1.00485413 < z. OR. -1.00485413 > z.
Ultimately, z < - 1.00485413 OR z > 1.00485413.
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