document.write( "Question 334394: According to the Old Farmers Almanac, the hours of daylight in Fairbanks, Alaska range from approximately 3.5 hours in mid-December to approximately 21 hours in mid-June. Write an absolute value inequality that represents the hours of daylight in Fairbanks. \n" ); document.write( "

Algebra.Com's Answer #239612 by nyc_function(2741) $\"\"$ $\"About$

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Absolute Value Inequalities are on the form:
\n" ); document.write( "|x| < a\r
\n" ); document.write( "\n" ); document.write( "From the question we have the inequality:
\n" ); document.write( "3.5 ≤ x ≤ 21\r
\n" ); document.write( "\n" ); document.write( "We must transform this, and the first step is to get the same abs value on each side. We can do this by subtracting (21 + 3.5) / 2 = 12.25 from each side:
\n" ); document.write( "(3.5 - 12.25) ≤ (x - 12.25) ≤ (21 - 12.25)
\n" ); document.write( "-8.75 ≤ (x - 12.25) ≤ 8.75
\n" ); document.write( "|x - 12.25| ≤ 8.75
\n" ); document.write( " \n" ); document.write( "

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