Concepts of Solving Inequalties
(<) This symbol stands for
Is Less Than
True or false: Inequalities can be graphed using a number line.
True!
x + 3 < 5
x < 2
2x + 4 < 10
x < 3
When you mix Red and Yellow at equal proportions, what color do you get?
Orange
A less than or equal to sign looks like...
(Draw the sign)
True or False: Inequalties can be graphed on the coordinate (x,y) plane
True!
x > 20
9x + -8 < 10
x < 2
This historical figure was known for accomplishing quick expansion of the roman empire. (He also named a few cities after himself. One of which is in Egypt!)
Alexander the Great
True or False: We can solve inequalities with the same basic operations we solve simple equations with.
True! Same operations
When graphing the equation x > 3 on a number line what direction will the arrow go?
To the right!
4x < 16
x < 4
x/4 + 3 > 9
x > 24
This team has won the most NBA titles in history
The Boston Celtics
True or false: When multiplying or dividing by a positive number, there is a special step we have to do.
False
When graphing the equation y < 3, will you shade the graph above or below?
Shade below!
x/3 > 5
x > 15
-3x + 4 > 25
x < -7
This US president established the National Park
A.) Ulysses S Grant
B.) Theodore Roosevelt
C.) Woodrow Wilson
A.) Ulysses S Grant
When multiplying or dividing by a negative number, what extra step do we have to do?
Flip the sign
If I were to graph x > 19, on a number line would the dot be closed (solid) or open (hollow)
Open
-5x > 25
x < -5
-10x -13 < 57
x > -7
This movie was released in 1977 and was the beginning of a Saga that lasted 9 episodes.
StarWars A New Hope