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0.6x\geq 4.2-0.8
Subtract 0.8 from both sides.
0.6x\geq 3.4
Subtract 0.8 from 4.2 to get 3.4.
x\geq \frac{3.4}{0.6}
Divide both sides by 0.6. Since 0.6 is positive, the inequality direction remains the same.
x\geq \frac{34}{6}
Expand \frac{3.4}{0.6} by multiplying both numerator and the denominator by 10.
x\geq \frac{17}{3}
Reduce the fraction \frac{34}{6} to lowest terms by extracting and canceling out 2.