The document provides steps to solve an inequality involving fractions: (1) determine values of x that make the fraction undefined by setting the denominator equal to 0; (2) turn the inequality sign into an equal sign to form an equation; (3) solve the equation and graph points on a number line; (4) test points to determine what values satisfy the inequality; (5) shade the number line to show the interval of values for which the inequality is true.

1. 1
Homework...
Solve for x.
10 2 3 4 5 6 7 8 9 10­1­2­3­4­5­6­7­8­9­10
1) Determine what values of x would make the fraction undefined: x + 1 = 0
so x ≠ -1
2) Turn the inequality sign into an equal sign.
3) Solve the equation and graph the point(s) on the number line.
4) Test points:
x = ­6
True
x = ­2
False
x = 0
True
x = 9
False
5) Shade and use the shading to determine the inequality/interval.
x < ­3 or ­1 < x < 4 (­∞, -3)∪(-1, 4)