document.write( "Question 1172851: in compound inequalities, say you were given a disjunction inequality that read: -y +5 ≥ 9 or 3y + 4 < -5. when solved, you’d get: y ≤ -4 or y < -3. why would you only write one of the inequalities as your final answer, rather than one since it’s connected by, “or”? as with a conjunction inequality, if they gave you for example, k > 1 and k > 5 (both signs are facing the same direction), why would you only write one of the inequalities? if there’s a rule that corresponds with this, please tell me. what/when does the rule apply to (if any)? does this only happen in conjunction inequalities if both signs are facing the same direction and one of the inequalities can “fit” under the other? fit meaning that (referring back to the previous example) all numbers greater than 1 aren’t all greater than 0, but all numbers greater than 5 are greater than 1? please respond. i have a math test on this soon, thank you 😄 \n" ); document.write( "
Algebra.Com's Answer #797986 by mccravyedwin(409) You can put this solution on YOUR website! \r\n" ); document.write( "I should also point out that if the word \"and\" were between them instead of \"or\",\r\n" ); document.write( "\r\n" ); document.write( "-y + 5 ≥ 9 and 3y + 4 < -5.\r\n" ); document.write( " -y ≥ 4 and 3y < -9. \r\n" ); document.write( " y ≤ -4 and y < -3\r\n" ); document.write( "\r\n" ); document.write( "If you say y ≤ -4 then you don't need to say y < -3 because if y is ≤ -4,\r\n" ); document.write( "it's automatically < -3. So y ≤ -4 covers all the possible cases.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |