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11<7x+15
Add -30 and 41 to get 11.
7x+15>11
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
7x>11-15
Subtract 15 from both sides.
7x>-4
Subtract 15 from 11 to get -4.
x>-\frac{4}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.