document.write( "Question 900029: I am having trouble with these absolute value questions.
\n" ); document.write( "here is my problem |-2p|<_1
\n" ); document.write( "*<_ is less than or equal to\r
\n" ); document.write( "\n" ); document.write( "I tried adding 2 to both sides but that didn't really work.
\n" ); document.write( "

Algebra.Com's Answer #545747 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
here is my problem |-2p|<_1
\n" ); document.write( "*<_ is less than or equal to
\n" ); document.write( "***
\n" ); document.write( "You must solve for 2 cases:
\n" ); document.write( "one for a positive expression inside the absolute value
\n" ); document.write( "and another for a negative expression inside the absolute value sign
\n" ); document.write( "..
\n" ); document.write( "case 1:
\n" ); document.write( "-2p≤1
\n" ); document.write( "-p≤1/2
\n" ); document.write( "mult.both sides by (-1) and reverse inequality sign
\n" ); document.write( "p≥-1/2
\n" ); document.write( "..
\n" ); document.write( "case 2:
\n" ); document.write( "-(-2p)≤1
\n" ); document.write( "2p≤1
\n" ); document.write( "p≤1/2
\n" ); document.write( "solution:
\n" ); document.write( "[-1/2,1/2]
\n" ); document.write( "or
\n" ); document.write( "-1/2 ≤ p ≤1/2
\n" ); document.write( "
\n" );