TA 3.4 and 3.5 Solving One­step Inequalities notes outline.notebook
3.4 How do we solve inequalities?
Warm-up
1.
Solution to an inequality: is the set of all numbers that produce
true statements.
Inequality
2.
February 24, 2017
Words
Graph
All #'s less than 4
All #'s greater than
-2
All #'s less than or
equal to 1
All #'s greater than
or equal to -3
Open circle >, <
Closed circle
Steps to solving +/- Inequalities
*** Goal is to isolate the variable***
1. Simplify both sides of the inequality.
2. Use inverse operations to isolate the variable.
3. Graph the solution on a number line.
Ex. 1
Ex 2:
Ex. 3
You Try:
Ex 1:
Ex 2:
-6<8
1. What happens if you multiply both sides by 2?
2. What happens if you multiply both sides by -2?
Ex 3:
3. What happens if you divide both sides by 2?
4. What happens if you divide both sides by -2?
1
TA 3.4 and 3.5 Solving One­step Inequalities notes outline.notebook
When multiplying or dividing by a negative
number it creates a false statement. the
statement could be true if you switch the
inequality symbol.
Switch the inequality when you multiply or
divide BOTH sides by a negative #.
Ex 1:
Ex 3:
February 24, 2017
Ex 2:
Ex 4:
2