Algebra-1

To solve the inequality , we can begin by multiplying both sides of the inequality by 7 to eliminate the fraction:



Now, we can break it down into two cases:

Case 1: is nonnegative (i.e., )
In this case, the absolute value is equal to , so we have:


Solving this inequality, we get:



Case 2: is negative (i.e., 3+r < 0)
In this case, the absolute value is equal to , so we have:


Simplifying this inequality, we get:

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