inequalities work the same way as equations. the difference is the number of solutions
TRANSCRIPT
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