Introduction to Variables: x 0 = 0
Letters are used in algebraic equations to represent numbers we do not know the value of yet. These are called variables.
Subject: symbol
Transcript: . IF YOU'VE EVER READ A COMIC BOOK OR SEEN A CARTOON, YOU KNOW THAT THESE SYMBOLS TELL US THAT THIS FELLA HAS SOMETHING ON HIS MIND. THIS SYMBOL TELLS US
Solving Compound Inequalities
How to solve compound inequality problems.
Subject: symbol
Transcript: STILL HAVE TO REVERSE THE INEQUALITY SYMBOLS, BOTH OF THEM. FIRST, LET'S ISOLATE THE VARIABLE. WE'LL MULTIPLY EACH PART OF THE STATEMENT BY NEGATIVE 2
Translating Word Problems into Inequalities
Translating word problems into inequality statements.
Subject: symbol
Transcript: NARRATOR: LET'S SEE HOW WE TRANSLATE WORDS TO INEQUALITIES. MARIA SOLD MORE THAN 40 CARS. HOW CAN WE WRITE THIS STATEMENT WITH AN INEQUALITY SYMBOL
Solving Inequalities
The procedure for solving an inequality by performing the same operation on each side of the statement.
Subject: symbol
Transcript: THE SAME OPERATION ON EACH SIDE OF THE INEQUALITY SYMBOL. TO GET THE VARIABLE BY ITSELF, WE'LL SUBTRACT 7 FROM BOTH SIDES OF THE INEQUALITY. X IS LESS
False Inequality, A
How to identify a false inequality.
Subject: symbol
Rules for Compound Inequalities
Two rules for combining inequalities.
Subject: inequality symbol
Transcript: NARRATOR: WE CAN COMBINE INEQUALITIES IF THEY ARE TRUE AT THE SAME TIME, WE JUST HAVE TO FOLLOW TWO RULES. THE INEQUALITY SYMBOLS MUST POINT IN THE
Greater Than or Equal To' and 'Less Than or Equal To'
Less than or equal to and greater than or equal to inequalities are defined and illustrated.
Subject: inequality symbol
Transcript: THAN 5. THIS IS THE LESS THAN OR EQUAL TO SYMBOL. P IS LESS THAN OR EQUAL TO 3. ALL OF THESE NUMBERS MAKE UP THE SOLUTION SET. THIS IS THE GREATER THAN
Introduction to Inequalities and Solution Sets
Inequality statements are defined, solution sets explained, the use of a number line demonstrated, and the less than and greater than symbols
Subject: inequality symbol
Transcript: EQUALS SIGN HERE. THAT'S BECAUSE THIS ISN'T AN EQUATION. INSTEAD, WE'VE USED AN INEQUALITY SYMBOL. IT MEANS "LESS THAN." 7 PLUS X IS LESS THAN 12. THIS
Solving Complex Inequalities
How to solve more complex inequality problems.
Subject: symbol
Transcript: INEQUALITY SYMBOL. THAT ISOLATES THE TERM WITH THE VARIABLE. THEN, JUST DIVIDE BOTH SIDES BY NEGATIVE 3. BE SURE TO REVERSE THE SYMBOL. Y IS LESS THAN 8. TRY
Different Ways to Write the Same Inequality
Inequalities can be written in more than one way. X < 10, for example, is the same as 10 > X.
Subject: symbol
Transcript: NARRATOR: NOTICE THAT THERE'S SOME SENSE TO THE INEQUALITY SYMBOLS. THE SMALL POINTED END OF THE SYMBOL POINTS TO THE SMALLER VALUE. THE LARGER END