Solve for x
x\leq 0
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x-3\geq 4x-3
Multiply both sides of the equation by 4. Since 4 is positive, the inequality direction remains the same.
x-3-4x\geq -3
Subtract 4x from both sides.
-3x-3\geq -3
Combine x and -4x to get -3x.
-3x\geq -3+3
Add 3 to both sides.
-3x\geq 0
Add -3 and 3 to get 0.
x\leq 0
Product of two numbers is ≥0 if both are ≥0 or both are ≤0. Since -3\leq 0, x 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
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
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Limits
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