How do you solve and graph the compound inequality #–5 + 2n ≥–11# or #–6 – 10n > 44 # ?
1 Answer
May 9, 2015
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For graphing the system, use a double number line.
On the top number line, figure out the solution set
On the bottom number line, figure out the solution set x < -5
------------------------------------|-3===========|0============
==============|-5-------------------------------|0----------------------
By superimposing the 2 number lines. we easily see the solution set of the system. That is the 2 intervals (-3, +infinity) and (-infinity, -5]. The end point -3 is included in the solution set.