Math  /  Algebra

QuestionSolve the following absolute value equations or state if there is no solution:
1. x2=7|x-2|=7
2. 2x1=5|2x-1|=5
3. x+1=5|x+1|=5
4. 23x2=142|3x-2|=14
5. 2x3=11|2x-3|=11
6. 2452x+6=182\left|4-\frac{5}{2}x\right|+6=18
7. 32x1=213|2x-1|=21
8. x+1+5=3|x+1|+5=3
9. 4134x+7=104\left|1-\frac{3}{4}x\right|+7=10
10. 2x1+3=3|2x-1|+3=3
11. x+1+6=2|x+1|+6=2
12. 3x2+4=4|3x-2|+4=4

Studdy Solution
olving 3x2=73x-2=7 gives 3x=7+2=93x=7+2=9 and x=9/3=3x=9/3=3.
olving 3x2=73x-2=-7 gives 3x=7+2=53x=-7+2=-5 and x=5/3x=-5/3.
The solutions for the remaining equations can be found in a similar manner.

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