Question

What is the solution to 3/4 a> -16?

Answer 1

Multiply the given equation by 4/3. This is a positive number, so the sense of the inequality remains the same.
  A. a > -21 1/3


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When solving inequalities, the rules of equality hold, except when multiplying or dividing by a negative number (and when applying certain functions). In those cases, the direction of the inequality must be reversed. As a simple example, consider the inequality
  2 > 1
When this is multiplied by -1, you get
  -2 < -1 . . . . . > has changed to <