Transcript Solving Inequalities Using Multiplication and Division

Solving Inequalities Using
Multiplication and Division
Algebra I
Activity
Complete the table with <, > or =
4*3
1*3
What happens to the inequality
symbol when you multiply
each side by a positive number
4*2
1*2
4*1
1*1
4*0
1*0
4 * -1
1 * -1
4 * -2
1 * -2
4 * -3
1 * -3
What happens to an inequality
symbol when you multiply
each side by 0
What happens to an inequality
symbol when you multiply
each side by a negative
number
Rule
When you multiply or divide each side of an
inequality by a positive number keep the
inequality sign the same.
When you multiply or divide each side of an
inequality of a negative number, flip the
sign
Multiplying by a Positive Number
x
< -1
2
b
1
>
2
4
Solve, graph and check
Solve, graph and check
Multiplying by a Negative Number
-
2
n
3
≤2
Solve, graph and check
b
 > -1
4
Solve, graph and check
Multiplying by a Negative Number
-t ≤ 2
Solve, graph and check
3
6≤  w
5
Solve, graph and check