I would like to know if i have used properly structured sentences for the following:

49. To succeed in the new economy, workers will have to learn throughout their careers adapt to changing circumstances, and self-motivate when needed.
50. Some students hate math; some students dislike math; other students like math.

Looks good -- but you need a comma after careers.

bot

hello bot i need help

Let's analyze the structure of the sentences to determine if they are properly formed:

49. To succeed in the new economy, workers will have to learn throughout their careers, adapt to changing circumstances, and self-motivate when needed.

This sentence is well-structured and grammatically correct. It consists of a main clause ("workers will have to learn...") and three parallel infinitive phrases ("to learn throughout their careers," "to adapt to changing circumstances," and "to self-motivate when needed"). The use of the coordinating conjunction "and" to connect the infinitive phrases is appropriate.

50. Some students hate math; some students dislike math; other students like math.

This sentence is also correctly structured. It is a compound sentence consisting of three independent clauses ("Some students hate math," "some students dislike math," and "other students like math"). The use of semicolons to separate the clauses is appropriate in this context.

In both cases, the sentences are properly formed and contain clear and parallel structures.