document.write( "Question 969360: Jane is thinking of a number between -10 and 10. If you multiply Jane’s number by -2, then subtract 2, the result is greater than 6. Which of the following statements must also be true? please explain\r
\n" ); document.write( "\n" ); document.write( "A. Jane’s number is less than -4.
\n" ); document.write( " B. Jane’s number is greater than -4.
\n" ); document.write( " C. Jane’s number is greater than 2.
\n" ); document.write( " D. Jane’s number is less than -2.
\n" ); document.write( " E. Jane’s number is 0.
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Algebra.Com's Answer #592259 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
It is A. Here is why.\r
\n" ); document.write( "\n" ); document.write( "Jane's number is x
\n" ); document.write( "Multiply it by -2 = -2x
\n" ); document.write( "Subtract 2 = -2x-2\r
\n" ); document.write( "\n" ); document.write( "This is an inequality -2x-2 >6
\n" ); document.write( "Add 2 to both sides -2x>8
\n" ); document.write( "divide by 2 and reverse the inequality: x <-4\r
\n" ); document.write( "\n" ); document.write( "Test with -5
\n" ); document.write( "Multiply by -2 =10
\n" ); document.write( "subtract 2=8 >6\r
\n" ); document.write( "\n" ); document.write( "Key: divide or multiply by negative number, must reverse inequality.\r
\n" ); document.write( "\n" ); document.write( "2<3
\n" ); document.write( "Multiply both by (-1)
\n" ); document.write( "-2 is > than -3. You must change the inequality with division or multiplication by a negative number.
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