Solve for x
x>\frac{43}{2}
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0x-7<2x-50
Multiply 0 and 5 to get 0.
0-7<2x-50
Anything times zero gives zero.
-7<2x-50
Subtract 7 from 0 to get -7.
2x-50>-7
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
2x>-7+50
Add 50 to both sides.
2x>43
Add -7 and 50 to get 43.
x>\frac{43}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
Examples
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y = 3x + 4
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Matrix
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\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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