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Mathematics
Arely Park
11 April, 13:15
Solve and show all work |2*+3| - 6=11
+3
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1
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Emmanuel Thomas
11 April, 16:22
0
x = - 10; x = 7
Step-by-step explanation:
|2x + 3| - 6 = 11
Add 6 to each side.
|2x + 3| = 17
Apply the absolute rule: If |x| = a, then x = a or x = - a.
(1) 2x + 3 = 17 (2) 2x + 3 = - 17
Subtract 3 from each side
2x = 14 2x = - 20
Divide each side by 2
x = 7 x = - 10
Check:
(1) |2 (7) + 3| - 6 = 11 (2) |2 (-10) + 3| - 6 = 11
|14 + 3| - 6 = 11 |-20 + 3| - 6 = 11
|17| - 6 = 11 |-17| - 6 = 1 1
17 - 6 = 11 17 - 6 = 11
11 = 11 11 = 11
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