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\frac{22}{0.3}<z
Divide both sides by 0.3. Since 0.3 is positive, the inequality direction remains the same.
\frac{220}{3}<z
Expand \frac{22}{0.3} by multiplying both numerator and the denominator by 10.
z>\frac{220}{3}
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.