Solve for x
x<\frac{1}{21}
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7-3x<8-24x
Use the distributive property to multiply 4 by 2-6x.
7-3x+24x<8
Add 24x to both sides.
7+21x<8
Combine -3x and 24x to get 21x.
21x<8-7
Subtract 7 from both sides.
21x<1
Subtract 7 from 8 to get 1.
x<\frac{1}{21}
Divide both sides by 21. Since 21 is positive, the inequality direction remains the same.
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
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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