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Inequalities work the
same way as equations. The difference is the number of solutions.
Here are the symbols of inequalities:
< means less than
> means greater than
< means less than OR equal to
> means greater than OR equal to
Here are the symbols of inequalities:
< means less than
> means greater than
< means less than OR equal to
> means greater than OR equal to
x < 4 is read x is less than 4
Here are the symbols of inequalities:
< means less than
> means greater than
< means less than OR equal to
> means greater than OR equal to
x > 4 is read x is greater than 4
Here are the symbols of inequalities:
< means less than
> means greater than
< means less than OR equal to
> means greater than OR equal to
x < 4 is read x is less than OR equal to 4
Here are the symbols of inequalities:
< means less than
> means greater than
< means less than OR equal to
> means greater than OR equal to
x > 4 is read x is greater than OR equal to 4
1.Do you need to use the distributive property?
2(y + 9) + y < 12
1.Do you need to use the distributive property?
2y + 18 + y < 12
1.Do you need to use the distributive property?
2.Are there like terms to combine?
2y + 18 + y < 12
1.Do you need to use the distributive property?
2.Are there like terms to combine? Remember to use the commutative property.
2y + 18 + y < 12
1.Do you need to use the distributive property?
2.Are there like terms to combine? Remember to use the commutative property.
2y + y + 18 < 12
1.Do you need to use the distributive property?
2.Are there like terms to combine? Remember to use the associative property, too.
(2y + y) + 18 < 12
1.Do you need to use the distributive property?
2.Are there like terms to combine?
3y + 18 < 12
1.Do you need to use the distributive property?
2.Are there like terms to combine?
3.Solve terms first.
3y + 18 < 12
1.Do you need to use the distributive property?
2.Are there like terms to combine?
3.Solve terms first.
3y + (18 + –18) < (12 + –18)
1.Do you need to use the distributive property?
2.Are there like terms to combine?
3.Solve terms first.
3y < –6
1.Do you need to use the distributive property?
2.Are there like terms to combine?
3.Solve terms first.
4.Solve factors second.3y < –6
1.Do you need to use the distributive property?
2.Are there like terms to combine?
3.Solve terms first.
4.Solve factors second.( )3y < –6( )
1.Do you need to use the distributive property?
2.Are there like terms to combine?
3.Solve terms first.
4.Solve factors second.y < –2
1.Do you need to use the distributive property?
2.Are there like terms to combine?
3.Solve terms first.
4.Solve factors second.y < –2
5. Number Set {–3, –4, –5, …}
When graphing inequalities, the way it is graphed describes the situation.
- (a dot) means equal to
- (a circle) means not equal to
Arrow - means greater than or less than.
–6 –5 –4 –3 –2 –1 0 1 2
For Example: y < 1 says y is less than 1.
When graphing inequalities, the way it is graphed describes the situation.
- (a dot) means equal to
- (a circle) means not equal to
Arrow - means greater than or less than.
–6 –5 –4 –3 –2 –1 0 1 2
For Example: y > –3 says y is greater than –3.
When graphing inequalities, the way it is graphed describes the situation.
- (a dot) means equal to
- (a circle) means not equal to
Arrow - means greater than or less than.
–6 –5 –4 –3 –2 –1 0 1 2
For Example: y > –6 says y is greater than OR equal to –6.
When graphing inequalities, the way it is graphed describes the situation.
- (a dot) means equal to
- (a circle) means not equal to
Arrow - means greater than or less than.
–6 –5 –4 –3 –2 –1 0 1 2
For Example: y < –1 says y is less than OR equal to –1.
y < –25. Number Set {–3, –4, –5, …}The only difference between solving equations and inequalities is the number of solutions.
–6 –5 –4 –3 –2 –1 0 1 2
