SOLUTION: Solve the following equations and inequalities. For b and c, graph the solutions on a number line and write your solution in interval notation.
a. |2x+1|=9
b. |3x-1|<4
c. |x-2|>
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Question 908708: Solve the following equations and inequalities. For b and c, graph the solutions on a number line and write your solution in interval notation.
a. |2x+1|=9
b. |3x-1|<4
c. |x-2|>1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve the following equations and inequalities. For b and c, graph the solutions on a number line and write your solution in interval notation.
a. |2x+1|=9
2x+1 = 9 or 2x+1 = -9
x = 8/2 or x = -10/2
x = 4 or x = -5
==========================
b. |3x-1|<4
-4 < 3x-1 < 4
-3 < 3x < 5
-1 < x < 5/3
--------------------------
c. |x-2|>1
x-2 < -1 or x-2 > 1
------
x < 1 or x > 3
---------------------
Cheers,
Stan H.
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