Question 597248
Hi, there--
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To solve this inequality, you need to isolate a. 
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{{{-2<=a+3<8}}} means {{{a+3>=-2}}} AND {{{a+3<8}}}
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Solve each equation for a by subtraction 3 from both sides.
{{{a>=-5}}} AND {{{a<5}}}
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Written as a conjunction,
{{{-5<=a<5}}}
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So, a is greater than or equal to -5, AND a is less than 5.
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Graph the solution on a number line. Put a closed circle at -5 and an open circle at 5. Fill in the space between -5 and 5 with a thick line.
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Hope this helps! Feel free to email me at the address below if the explanation is unclear.
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Ms.Figgy
math.in.the.vortex@gmail.com