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 ].->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 <=x<3}}} 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 <= 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}}},.....