document.write( "Question 694772: What is a possible value of y such that 30% of y ≤ 300 ≤ 40% of y? \n" ); document.write( "

Algebra.Com's Answer #428189 by RedemptiveMath(80) $\"\"$ $\"About$

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It would be beneficial if we converted percentage over to decimals in order to get a clearer picture of what we are dealing with. If you remember, percent roughly means \"out of one hundred,\" so 30% is 30/100 or 0.3 and 40% is 40/100 or 0.4. The word \"of\" in math generally means the same as multiplication. Converting our equation we have:\r
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\n" ); document.write( "\n" ); document.write( "30% of y ≤ 300 ≤ 40% of y = 0.3y ≤ 300 ≤ 0.4y.\r
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\n" ); document.write( "\n" ); document.write( "Now we would just solve like any compound inequality:\r
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\n" ); document.write( "\n" ); document.write( "0.3y ≤ 300 ≤ 0.4y
\n" ); document.write( "0.3y ≤ 300 and 300 ≤ 0.4y
\n" ); document.write( "y ≤ 1000 and 750 ≤ y (divide each side by 0.3 and 0.4 respectively)
\n" ); document.write( "750 ≤ y ≤ 1000 (this is the two above answers put into a compound inequality).\r
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\n" ); document.write( "\n" ); document.write( "So, we have our compound inequality 750 ≤ y ≤ 1000 that satisfies the conditions of 0.3y ≤ 300 ≤ 0.4y. Any number between and including 750 and 1000 would make this compound inequality true. \n" ); document.write( "

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