document.write( "Question 1011501: What is the solution of the inequality 9 - x^2 < 0?
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document.write( "(a) {x | -3 < x < 3}
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document.write( "(b) {x | x > 3 or x < -3}
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document.write( "(c) {x | x | x > 3}
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document.write( "(d) {x | x < -3}\r
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document.write( "I think it's either choice b or c, but I'm not sure. Please show how you got the answer. Thank you! \n" );
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Algebra.Com's Answer #627170 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let's first isolate x^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9 - x^2 < 0 \n" ); document.write( "9 - x^2+x^2 < 0+x^2 \n" ); document.write( "9 < x^2 \n" ); document.write( "x^2 > 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now we will apply the square root function to both sides\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 > 9 \n" ); document.write( "sqrt(x^2) > sqrt(9) \n" ); document.write( "|x| > 3 ... take note of the absolute value\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The inequality |x| > 3 breaks down into these two inequalities\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x > 3 or x < -3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the answer is choice B \n" ); document.write( " |