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Sagot :
Answer:
X < 7/2
Step-by-step explanation:
Move the variable to the left, separate into possible cases , solve, find the intersections, find the union, and then you get your solution.
Step-by-step explanation:
Given that:
|2x-7| = 7-2x
⇛2x-7 = 7-2x or -(7-2x)
since |x| = a ⇛ x = a or x = -a
⇛2x-7 = 7-2x or 2x-7 = 2x-7
Shift all variables on LHS and constant on RHS, changing it's sign.
⇛2x+2x = 7+7
Add the values on LHS and RHS.
⇛4x = 14
Shift the number 4 from LHS to RHS.
⇛x = 14/4
Write the fraction in lowest form by cancelling method.
⇛ x = {(14÷2)/(4÷2)}
⇛x = 7/2
There is no solution for negative value
x = 7/2
Please let me know if you have any other questions.
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