Question

solve the inequality $\frac{29}{289z<\frac{16}{161}z$. try to solve the problem without doing a lot of messy computations!

Answer 1

The solution to the given inequality as represented in the task content are; z < - 1.00485413 OR z > 1.00485413.

What is the solution to the given inequality?

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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