SOLUTION: -5≤4x-4≤-3 The solution is {x|❑≤x≤❑}

Algebra ->  Inequalities -> SOLUTION: -5≤4x-4≤-3 The solution is {x|❑≤x≤❑}      Log On


   



Question 425506: -5≤4x-4≤-3
The solution is {x|❑≤x≤❑}

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
++-5+%3C=+4x-4+%3C=+-3+
+-5+%2B+4+%3C=+4x+-4+%2B+4+%3C=+-3+%2B+4+
(a) +-1+%3C=+4x+%3C=+1+
+-1%2F4+%3C=+4x%2F4+%3C=+1%2F4+
+-1%2F4+%3C=+x+%3C=+1%2F4+
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check answer:
Looking at step (a),
(a) +-1+%3C=+4x+%3C=+1+
If 4x+=+-1,
+-5+%3C=+-1+-4+%3C=+-3+
+-5+%3C=+-5+%3C=+-3+
this is true
if 4x+=+1
-5+%3C=+1+-4+%3C=+-3+
-5+%3C=+-3+%3C=+-3+
also true