document.write( "Question 1151646: For the following compound inequality, give the solution set in both interval and graph form.\r
\n" ); document.write( "\n" ); document.write( "x+2>7 or −4x+1≥9 \n" ); document.write( "

Algebra.Com's Answer #773463 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( " $\"x%2B2%3E7\"$ or $\"-4x%2B1%3E=9\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2B2%3E7\"$
\n" ); document.write( " $\"x%3E7-2\"$
\n" ); document.write( " $\"x%3E5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-4x%2B1%3E=9\"$
\n" ); document.write( " $\"-9%2B1%3E=4x\"$
\n" ); document.write( " $\"4x%3C=-8\"$
\n" ); document.write( " $\"x%3C=-2\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( " $\"x%3C=-2\"$ or $\"x%3E5\"$ \r
\n" ); document.write( "\n" ); document.write( "Interval notation:\r
\n" ); document.write( "\n" ); document.write( "( $\"-infinity\"$ , $\"-2\"$ ] or ( $\"5\"$ , $\"+infinity\"$ )\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "as you can see, $\"x+%3C=-2\"$ indicates all the numbers to the left of $\"-2+\"$ (including $\"-2\"$ ), and $\"x+%3E+5\"$ indicates all the numbers to the right of $\"5\"$ . The $\"intersection\"$ of these graphs contains $\"no\"$ $\"+numbers\"$ . That is, the solution set is the $\"empty\"$ $\"+set\"$ . ∅\r
\n" ); document.write( "\n" ); document.write( "graph:\r
\n" ); document.write( "\n" ); document.write( " $\"MSP5.gif\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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