Solve for x
x\leq -5
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3-4\times 2x\geq 43
Multiply both sides of the equation by 12, the least common multiple of 4,3,12. Since 12 is positive, the inequality direction remains the same.
3-8x\geq 43
Multiply -4 and 2 to get -8.
-8x\geq 43-3
Subtract 3 from both sides.
-8x\geq 40
Subtract 3 from 43 to get 40.
x\leq \frac{40}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
x\leq -5
Divide 40 by -8 to get -5.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}