Solve for x
x>45
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65+0.8x>101
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
0.8x>101-65
Subtract 65 from both sides.
0.8x>36
Subtract 65 from 101 to get 36.
x>\frac{36}{0.8}
Divide both sides by 0.8. Since 0.8 is positive, the inequality direction remains the same.
x>\frac{360}{8}
Expand \frac{36}{0.8} by multiplying both numerator and the denominator by 10.
x>45
Divide 360 by 8 to get 45.
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