SOLUTION: TRUE or FALSE. ( 2 pts. Each) 1.) Given { x Є R / -1 < x < 2 } then the solution set is { -1, 0, 1, 2 ]. 2.) Given { x Є Z / -2 < x ≤ 1 }, the solution set is { -1, 0, 1 ].

Algebra ->  Subset -> SOLUTION: TRUE or FALSE. ( 2 pts. Each) 1.) Given { x Є R / -1 < x < 2 } then the solution set is { -1, 0, 1, 2 ]. 2.) Given { x Є Z / -2 < x ≤ 1 }, the solution set is { -1, 0, 1 ].       Log On


   



Question 1176595: TRUE or FALSE. ( 2 pts. Each)
1.) Given { x Є R / -1 < x < 2 } then the solution set is { -1, 0, 1, 2 ].
2.) Given { x Є Z / -2 < x ≤ 1 }, the solution set is { -1, 0, 1 ].
3.) Let { x Є Z+/ -3 ≤ x < 3 }, the solution set is { 0,1, 2 }.
4.) Let { x Є Z-/ -5 ≤ x ≤ 1 }, the solution set is { -5, -4, -3, -2, -1}.
5.) Let { x Є Prime nos. / 1 ≤ x ≤ 5 }, the solution set is { 1, 3, 5 }.

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

TRUE or FALSE. ( 2 pts. Each)
1.) Given { x Є R / -1 < x < 2 } then the solution set is { -1, 0, 1, 2 ].->FALSE
reason: -1 and 2 should be excluded and the solution set is ( -1, 0, 1, 2 )
2.) Given { x Є Z / -2 < x ≤ 1 }, the solution set is { -1, 0, 1 ].->TRUE
3.) Let { x Є Z+/ -3 ≤ x < 3 }, the solution set is { 0,1, 2 }.->FALSE
reason: -3+%3C=x%3C3 includes all numbers equal and greater to -3 and less than 3 and the solution set is { -3, -2, -1, 0, 1,2}
4.) Let { x Є Z-/ -5 ≤ x ≤ 1 }, the solution set is { -5, -4, -3, -2, -1}.->FALSE
reason: x+%3C=+1 so it includes all numbers from -5 to 1 and the solution set is { -5, -4, -3, -2, -1,0,1}
5.) Let { x Є ->FALSE. / 1 ≤ x ≤ 5 }, the solution set is { 1, 3, 5 }.->FALSE
reason:
List of prime some numbers: 2, 3, 5, 7,.....

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
TRUE or FALSE. ( 2 pts. Each)
~~~~~~~~~~~~~~


1) Given { x Є R / -1 < x < 2 } then the solution set is { -1, 0, 1, 2 }.

         FALSE.


   The correct answer is  { all REAL numbers between -1 and 2, EXCLUDING endpoints }.


   The answer by @MathLover1 is INCORRECT at this part, since she missed to include all real numbers.



2) Given { x Є Z / -2 < x ≤ 1 }, the solution set is { -1, 0, 1 }.


         TRUE.



3) Let { x Є Z+/ -3 ≤ x < 3 }, the solution set is { 0,1,2 }.


         FALSE

          
        Z+ means positive integer numbers (greater than 0).
        The correct answer is  { 1,2 }.



4) Let { x Є Z-/ -5 ≤ x ≤ 1 }, the solution set is { -5, -4, -3, -2, -1}.


         TRUE


        Z- means negative integer numbers (less than 0).
        The answer is  { -5,-4,-3,-2,-1 }.



5) Let { x Є Prime nos. / 1 ≤ x ≤ 5 }, the solution set is { 1, 3, 5 }.


        FALSE.


        The correct answer is { 3,5 }.

Solved.

All questions are answered.