\n" );
document.write( "
\n" );
document.write( "Discussion
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "Solve inequalities just like you would solve equations. There are two very
\n" );
document.write( "important differences.\r
\n" );
document.write( "\n" );
document.write( "1. Instead of a single element in the solution set that you would get with
\n" );
document.write( "a linear equation in a single variable, with an inequality you get a solution
\n" );
document.write( "set with an infinite number of elements represented by a number line interval.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "2. When, in the process of solving the inequality, you need to multiply or
\n" );
document.write( "divide by a negative number, you must reverse the sense of the inequality.
\n" );
document.write( "Here's why:\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "
, but
because
.
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "Solution
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Just like an equation, you can add the same value to both sides:
\n" );
document.write( "
\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "
\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Therefore, the solution set is all real numbers such that
\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "Check Answer
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "The solution interval says that
is a solution, so check:
\n" );
document.write( "Is
a true statement? Yes,
\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "The solution interval implies that anything smaller than 16 is a solution:
\n" );
document.write( "Is
a true statement? Yes,
\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "The solution interval implies that anything larger than 16 is NOT a solution:
\n" );
document.write( "Is
a false statement? Yes, 12 is NOT less than or equal to 11.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Answer checks.
\n" );
document.write( "
\n" );
document.write( "