determine the smallest positive integer and the most negative integer for which the difference between the square of 5 more than this number and the cube of 1 more than this number exceeds 22.

Solution

Solution

x > \frac{11}{2}

Solution steps

Represent the number with

x

A.T.Q.:

x ((5 + x) - (1 + x)) > 22

Solve for

x, x ((5 + x) - (1 + x)) > 22 : x > \frac{11}{2}

x > \frac{11}{2}

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