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7x<0.4+2.4
Add 2.4 to both sides.
7x<2.8
Add 0.4 and 2.4 to get 2.8.
x<\frac{2.8}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.
x<\frac{28}{70}
Expand \frac{2.8}{7} by multiplying both numerator and the denominator by 10.
x<\frac{2}{5}
Reduce the fraction \frac{28}{70} to lowest terms by extracting and canceling out 14.