Solve for a
a\geq 7
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2-2a\leq -4\times 3
Multiply both sides by 3. Since 3 is positive, the inequality direction remains the same.
2-2a\leq -12
Multiply -4 and 3 to get -12.
-2a\leq -12-2
Subtract 2 from both sides.
-2a\leq -14
Subtract 2 from -12 to get -14.
a\geq \frac{-14}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
a\geq 7
Divide -14 by -2 to get 7.
Examples
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y = 3x + 4
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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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