# Solving Inequalities

## Rational Inequalities have restrictions.  Any value of x that makes the denominator equal to 0 is a restriction.  Any value of x that makes the value under a square root sign, negative, is also a restriction.  The critical numbers that divide the number line into test intervals includes the zeros and the restrictions.

### all reals such that  $-5<&space;x\leq&space;0$  and   $x>&space;7$ .

Filed under: Pre-requisites for Pre-Calculus

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