Page 446 - Algebra 1

Step 1: Check the endpoint.
The endpoint should be a solution of the related equation x - 10 = -6.
x - 10 = -6
4 - 10 -6 Substitute 4 for x.
-6 = -6 ✓ Simplify. Step2: Checktheinequalitysymbol.
Substitute a number less than 4 for x in the original inequality. The number chosen should be a solution of the inequality.
x - 10 < -6
2 - 10 -6 Substitute a number less than 4 for x.
-8 < -6 ✓ Simplify.
Since the endpoint and the direction of the inequality are correct, the solution
of x-10<-6isx<4.
Checking Solutions
Solve the inequality x - 3 ≥ 5. Then graph and check the solution. SOLUTION
x-3≥5
+__3 +__3 Addition Property of Inequality x ≥ 8 Simplify.
-2 0 2 4 6 8 10
Check The endpoint and direction of the inequality symbol should be
checked to verify the solution.
Check the endpoint.
x-3=5 8-3 5
5=5 ✓
Check the direction of the inequality. Choose a number greater than 8.
x-3≥5 9-3 5
6≥5 ✓
Example
2
Reading Math
A closed circle on the graph of an inequality means that the value is part of the solution.
Lesson 66 431