Date ________________
Lesson 4-8: Finding and Graphing the Solution of an Inequality
p.151-156
*The solution set of an inequality is the set of numbers from the domain
that make the inequality true.  Inequalities that have the same solution set
are equivalent inequalities.
Interval Notation
(a, b)
lower
upper
boundary
boundary
not included
*****
[a,b]
lower
upper
boundary
boundary
included
∞ or -∞ means that there is not limit to how high or low.
Use the domain = {Real Numbers} to solve the following:
Ex 1| Solve and graph x  4  1 . Use interval notation to name the
solution.
Ex 2| Solve and graph 5x  4  11  2x . Use interval notation to
name the solution.
687294030, p. 1
Date ________________
Ex 3| Solve and graph 22x  8  8x  0 . Use interval notation to
name the solution.
Graph the intersection of two sets. {“AND” inequalities}
Ex 4| Solve and graph 3  x  6 . Use interval notation to name the
solution.
Break the inequality in to 2 parts.
Graph each one separately (floating).
Graph only the parts that “overlap” on a new number line.
687294030, p. 2
Date ________________
Ex 5| Solve and graph  7  x  5  0 . Use interval notation to name
the solution.
Break the inequality in to 2 parts.
Graph each one separately (floating).
Graph only the parts that “overlap” on a new number line.
687294030, p. 3
Graph the union of two sets. {“OR” inequalities}
Date ________________
Ex 6| Solve and graph x  3 or x  6 . Use interval notation to
name the solution.
Solve each inequality.
Graph each one separately (floating).
Graph the final result on a new number line.
687294030, p. 4
Date ________________
Ex 7| Solve and graph x  2  0 or x  3  0 . Use interval
notation to name the solution.
Solve each inequality.
Graph each one separately (floating).
Graph the final result on a new number line.
HW: p.156/4-48 4’s
687294030, p. 5