Solve for A
A<28
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\frac{7}{4}A+\frac{3}{4}A-4<66
Combine \frac{3}{4}A and A to get \frac{7}{4}A.
\frac{5}{2}A-4<66
Combine \frac{7}{4}A and \frac{3}{4}A to get \frac{5}{2}A.
\frac{5}{2}A<66+4
Add 4 to both sides.
\frac{5}{2}A<70
Add 66 and 4 to get 70.
A<70\times \frac{2}{5}
Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}. Since \frac{5}{2} is positive, the inequality direction remains the same.
A<\frac{70\times 2}{5}
Express 70\times \frac{2}{5} as a single fraction.
A<\frac{140}{5}
Multiply 70 and 2 to get 140.
A<28
Divide 140 by 5 to get 28.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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