Please help with this question!

Question

In each of the following, decide whether the given quantified statement is true or false (the domain for both  and  is the set of all real numbers). Provide a brief justification in each case.

1.      
2.           
3. 
   

Answer 1

Fizaa:

The first question is "is it true that for all real numbers x, there exists a real y such that y³=x. Try plugging in a negative x value, say -8. Is there a y such that y³ = -8? Yes, take y = -2. Try plugging in a positive y value, say x =1. Is there a y such that y³ = 1. Yes y = 1. Try drawing the graph of y³=x and see if there are any values of x for which y is undefined.

Use the same idea for the second question.