Oct 25, 2013 Thread starter #1 K KOO New member Oct 19, 2013 19 Write ⊆ or ⊄ in the space provided. (3,5) _____ [3,5] [-1,4] ____ (-1,4) {∅} _____ P(∅) N * Z ____ Z * N My Solution) ⊆ ⊄ ⊄ ⊆
Write ⊆ or ⊄ in the space provided. (3,5) _____ [3,5] [-1,4] ____ (-1,4) {∅} _____ P(∅) N * Z ____ Z * N My Solution) ⊆ ⊄ ⊄ ⊆
Oct 26, 2013 Admin #2 Klaas van Aarsen MHB Seeker Staff member Mar 5, 2012 8,999 KOO said: Write ⊆ or ⊄ in the space provided. (3,5) _____ [3,5] [-1,4] ____ (-1,4) {∅} _____ P(∅) N * Z ____ Z * N My Solution) ⊆ ⊄ ⊄ ⊆ Click to expand... Hi KOO! The first 2 are correct. Edit: see Evgeny.Makarov's post for the 3rd. As for the 4th, can I assume you intended $\mathbb N \times \mathbb Z \underline{\qquad} \mathbb Z \times \mathbb N$? If so then the left hand side has elements like (1,1) and (1,-1), while the right hand side has elements like (-1,1) and (1,1)...
KOO said: Write ⊆ or ⊄ in the space provided. (3,5) _____ [3,5] [-1,4] ____ (-1,4) {∅} _____ P(∅) N * Z ____ Z * N My Solution) ⊆ ⊄ ⊄ ⊆ Click to expand... Hi KOO! The first 2 are correct. Edit: see Evgeny.Makarov's post for the 3rd. As for the 4th, can I assume you intended $\mathbb N \times \mathbb Z \underline{\qquad} \mathbb Z \times \mathbb N$? If so then the left hand side has elements like (1,1) and (1,-1), while the right hand side has elements like (-1,1) and (1,1)...
Oct 26, 2013 #3 E Evgeny.Makarov Well-known member MHB Math Scholar Jan 30, 2012 2,512 I assume the first two questions are about intervals on the real line. Then I agree. KOO said: {∅} _____ P(∅) Click to expand... Note that P(∅) = {∅}.
I assume the first two questions are about intervals on the real line. Then I agree. KOO said: {∅} _____ P(∅) Click to expand... Note that P(∅) = {∅}.
Oct 26, 2013 Admin #4 Klaas van Aarsen MHB Seeker Staff member Mar 5, 2012 8,999 Evgeny.Makarov said: Note that P(∅) = {∅}. Click to expand... Good point. Slipped on that one.