Solve for b
b\leq -1
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11+2b\leq 6-3b
Use the distributive property to multiply 3 by 2-b.
11+2b+3b\leq 6
Add 3b to both sides.
11+5b\leq 6
Combine 2b and 3b to get 5b.
5b\leq 6-11
Subtract 11 from both sides.
5b\leq -5
Subtract 11 from 6 to get -5.
b\leq \frac{-5}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
b\leq -1
Divide -5 by 5 to get -1.
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
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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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