8.6 Day 1 Notes
Solving Rational Equations and
Inequalities
Equations that contain one or more rational
expressions are called rational equations.
Steps:
 Multiply each term on both sides of the
equations by the LCD of the terms.
 Simplify and solve the resulting polynomial.
 Always check answers for extraneous solutions!!
Example 1:
Solve
5
24
+
2
3−𝑥
=
1
.
4
Check your solution.
Example 2:
Solve
5
2
3
+
𝑥−1
=
1
.
2
Check your solution.
Example 3:
Solve
2
𝑥+3
3
𝑥
+ =
19
10
Exit Slip
Solve
7
12
+
9
𝑥−4
=
55
.
48
Check your solution.