Solve for x
x<0
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-6+48x+16<7x+10
Use the distributive property to multiply 8 by 6x+2.
10+48x<7x+10
Add -6 and 16 to get 10.
10+48x-7x<10
Subtract 7x from both sides.
10+41x<10
Combine 48x and -7x to get 41x.
41x<10-10
Subtract 10 from both sides.
41x<0
Subtract 10 from 10 to get 0.
x<0
Product of two numbers is <0 if one is >0 and the other is <0. Since 41>0, x must be <0.
Examples
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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