Solve for x
x\geq 1078
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0.07x\geq 86.46-11
Subtract 11 from both sides.
0.07x\geq 75.46
Subtract 11 from 86.46 to get 75.46.
x\geq \frac{75.46}{0.07}
Divide both sides by 0.07. Since 0.07 is positive, the inequality direction remains the same.
x\geq \frac{7546}{7}
Expand \frac{75.46}{0.07} by multiplying both numerator and the denominator by 100.
x\geq 1078
Divide 7546 by 7 to get 1078.
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