1. Solve x-5<10x-23

2. Simplify (4x^3y^2)^-3 using positive indicies

Quote:

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x-5<10x-23
Simplify (4x^3y^2)^-3 using positive indicies

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#1: You solve just as if it were a normal equation -- almost.







In this case, there's no multiplying or dividing. If you multiply or divide by a negative number the sense of the equation will (from < to > or vice-versa). If, for example, you have an equation:



and you multiply both sides by -1, the "sense" of the inequality changes. If you multiply or divide by an unknown, you have to keep that in mind if the value comes out to be negative.




#2.