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5+6x>3\times 2
Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same.
5+6x>6
Multiply 3 and 2 to get 6.
6x>6-5
Subtract 5 from both sides.
6x>1
Subtract 5 from 6 to get 1.
x>\frac{1}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.