You can put this solution on YOUR website! a. |x| <5
b. |x| = 5
c. |2x-3| <7
d. |3x+2| = 5
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a. -5 < x < 5
b. x = -5 or x = 5
c. -7 < 2x-3 < 7
Do the left side of the inequality: -7 < 2x-3, then -4 < 2x or -2 < x.
Do the right side of the inequality: 2x-3 < 7, then 2x < 10 or x < 5.
So, put the left and right sides together and you get .
d. 3x+2 = 5 or 3x+2 = -5
The first equality: 3x+2 = 5 then x=1.
The second equality: 3x+2 = -5 then 3x = -7 or x = -7/3.
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