February 17th, 2018, 08:11 PM  #11 
Global Moderator Joined: Dec 2006 Posts: 19,958 Thanks: 1844 
Squaring gives $x^2 + 4x + 4 = x^2 + 14x + 49$, i.e. $10x + 45 = 0$, so $x = 9/2$. Why would that be wanted as an interval? Was the question mistyped? 
February 17th, 2018, 08:19 PM  #12 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,509 Thanks: 2514 Math Focus: Mainly analysis and algebra  
February 19th, 2018, 11:26 AM  #13  
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894  Quote:
That's why romsek divided this into three regions, $x< 7$, $7\le x< 2$, and $2\le x$. In the first region x is less than both 7 and 2, in the second, x is larger than 7 but still less than 2, and in the third, x is greater than both 7 and 2.  

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calculus, equation, math or calculus, trigonometry or algebra, urgent 
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