Solve for p
p\leq -5
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6p-15\geq 8p-5
Use the distributive property to multiply 3 by 2p-5.
6p-15-8p\geq -5
Subtract 8p from both sides.
-2p-15\geq -5
Combine 6p and -8p to get -2p.
-2p\geq -5+15
Add 15 to both sides.
-2p\geq 10
Add -5 and 15 to get 10.
p\leq \frac{10}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
p\leq -5
Divide 10 by -2 to get -5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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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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