SOLUTION: Solve and graph the solution sets... -2/3 < |4d-3| < 2/3

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Question 1139379: Solve and graph the solution sets...
-2/3 < |4d-3| < 2/3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

-2%2F3+%3C+abs%284d-3%29+%3C+2%2F3+
-2%2F3+%3C+sqrt%28%284d-3%29%5E2%29+%3C+2%2F3+
=> first solution:
-2%2F3+%3C+4d-3+%3C+2%2F3+
-2%2F3%2B3+%3C+4d-3+%2B3%3C+2%2F3%2B3+
7%2F3+%3C+4d%3C+11%2F3+
%287%2F3%29%2F4+%3C+4d%2F4%3C+%2811%2F3%29%2F4+
7%2F12+%3C+d%3C+11%2F12+
=> second solution:
-2%2F3+%3C+-%284d-3%29+%3C+2%2F3+
-2%2F3+%3C+-4d%2B3%3C+2%2F3+
-2%2F3+-3%3C+-4d%2B3-3%3C+2%2F3-3+
-11%2F3%3C+-4d%3C+-7%2F3+
%28-11%2F3%29%2F-4%3C+-4d%2F-4%3C+%28-7%2F3%29%2F-4+
11%2F12%3Ed%3E+7%2F12+
so, both are same
7%2F12%3Cd%3C11%2F12

Interval notation: (7%2F12, 11%2F12)
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