W woldsl New member Joined Nov 10, 2010 Messages 3 Nov 10, 2010 #1 -4 < 3y -7 < 4 3 < 3y < 11 1<y<11/3 Solution (1,11/3] My question is if above given solution is right ? Because in solution manual, (1,11/3) is ans given
-4 < 3y -7 < 4 3 < 3y < 11 1<y<11/3 Solution (1,11/3] My question is if above given solution is right ? Because in solution manual, (1,11/3) is ans given
W woldsl New member Joined Nov 10, 2010 Messages 3 Nov 10, 2010 #2 http://img837.imageshack.us/img837/5588/95284795.jpg
W wjm11 Senior Member Joined Nov 13, 2004 Messages 1,417 Nov 10, 2010 #3 -4 < 3y -7 < 4 3 < 3y < 11 1<y<11/3 Solution (1,11/3] My question is if above given solution is right ? Because in solution manual, (1,11/3) is ans given Click to expand... The solution manual is correct. If you plug 11/3 in for Y in the original inequality, you get 3(11/3) - 7 < 4 11 - 7 < 4 4 < 4, which is obviously incorrect. Therefore, 11/3 is not part of the solution set.
-4 < 3y -7 < 4 3 < 3y < 11 1<y<11/3 Solution (1,11/3] My question is if above given solution is right ? Because in solution manual, (1,11/3) is ans given Click to expand... The solution manual is correct. If you plug 11/3 in for Y in the original inequality, you get 3(11/3) - 7 < 4 11 - 7 < 4 4 < 4, which is obviously incorrect. Therefore, 11/3 is not part of the solution set.