firstname.lastname@example.org wants algebra help: > >I'm trying to solve |2x+3| <= |3x+7| > >(1) >2x+3 <= 3x+7 >2x <= 3x+4 >-x <= 4 >x >= -4 > >(2) >-2x-3 <= 3x+7 >-2x <=3x+10 >-5x <= 10 >x <= -2 > >WRONG! The correct solutions are x<= -4 and x>= -2 but I don't understand >how to get these solutions algebraically. > >TIA >Ivan.
Without checking reference to a good algebra textbook, it seems you may have left out two more possibilities; but in any case, in your condition #2, you forgot to switch the direction of the order relation symbol when you divided by negative 5. You should obtain x >= -2;