Solve for a
a\geq 0
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0.3a+50-0.5a\leq 50
Use the distributive property to multiply 0.5 by 100-a.
-0.2a+50\leq 50
Combine 0.3a and -0.5a to get -0.2a.
-0.2a\leq 50-50
Subtract 50 from both sides.
-0.2a\leq 0
Subtract 50 from 50 to get 0.
a\geq 0
Product of two numbers is ≤0 if one is ≥0 and the other is ≤0. Since -0.2\leq 0, a must be ≥0.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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