document.write( "Question 238293: solve -0.4x < -36 Solve How do you solve something like this \n" ); document.write( "
Algebra.Com's Answer #175114 by College Student(505)\"\" \"About 
You can put this solution on YOUR website!
When we have an inequality or equality, we need to isolate the variable in order to find its value.
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\n" ); document.write( "When we add or sustract from both sides of the inequality, the inequality symbol remains the same.
\n" ); document.write( "However, when we multiply or divide a NEGATIVE value on both sides, the inequality symbol changes direction.
\n" ); document.write( ".
\n" ); document.write( "It also changes direction if we decide to swap one side for the other.
\n" ); document.write( "Here are a few examples:
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\n" ); document.write( "Sum operation:
\n" ); document.write( "\"20%3E-2%2Bk\"
\n" ); document.write( "\"20%2B2%3Ek\"
\n" ); document.write( "\"22%3Ek\"
\n" ); document.write( "If you decide to swap sides, then you'd say: \"k%3C22\" to maintain the same result.
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\n" ); document.write( "Negative Multiplication operation:
\n" ); document.write( "\"30%3E-%28p%2F4%29\"
\n" ); document.write( "\"30%2A%28-4%29%3Cp\"
\n" ); document.write( "\"-120%3Cp\" ...same as to say... \"p%3E-120\"
\n" ); document.write( "Positive Multiplication operation:
\n" ); document.write( "\"30%3Ep%2F4\"
\n" ); document.write( "\"30%2A4%3Ep\"
\n" ); document.write( "\"120%3Ep\" ...same as to say... \"p%3C120\"
\n" ); document.write( "===============================================
\n" ); document.write( "Now, let's work on your problem:
\n" ); document.write( "\"-0.4x%3C-36\"
\n" ); document.write( "In this case, we need to divide by -0.4, so we know the inequality symbol changes direction... and... negative divided by negative yields a positive answer.
\n" ); document.write( "\"x%3E%28-36%29%2F-0.4\"
\n" ); document.write( "\"x%3E90\"
\n" ); document.write( "Done! \n" ); document.write( "
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