document.write( "Question 1209112: Please help me with this:
\n" ); document.write( "5x-7 < 2x+5 \n" ); document.write( "
Algebra.Com's Answer #847696 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "5x-7 < 2x+5
\n" ); document.write( "5x-2x < 5+7
\n" ); document.write( "3x < 12
\n" ); document.write( "x < 12/3
\n" ); document.write( "x < 4\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To solve what is shown above, we get all the x terms to one side while everything else is to the other side.
\n" ); document.write( "When we divide both sides by a positive number, it does not flip the inequality sign.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x < 4 in interval notation is (-infinity, 4)
\n" ); document.write( "You can think of x < 4 as -infinity < x < 4
\n" ); document.write( "Replace the word \"infinity\" with the symbol if needed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The graph of x < 4 on a number line has an open hole at 4 and shading to the left.
\n" ); document.write( "This is to visually represent all numbers smaller than 4.
\n" ); document.write( "The open hole means \"exclude this endpoint from the solution set\".
\n" ); document.write( " \n" ); document.write( "
\n" );