Todays Agenda
Todays AgendaRates and Ratio QuizEvaluating InequalitiesSolving
InequalitiesMath Notes Solving and Graphing InequalitiesTodays
Lesson ConceptsEssential QuestionSkillHow do I use symbolic
manipulation skills ("magic" tricks) to rewrite expressions?
Compose expressions by combining like terms and using the
Distributive Property. Ratio and rate QuizClear off your deskPlace
a folder on your deskPut your name and student number at the top of
your quizPlace your quiz in the bin when you are finishedWork on
something SILENTLY!Evaluating inequalitiesWrite an inequality for
the picture below.
How would you write the inequality in words?
Evaluating inequalitiesWrite an inequality for the picture
below.
How would you write the inequality in words?
Evaluating inequalitiesWrite an inequality for the picture
below.
How would you write the inequality in words?
Evaluating inequalitiesWrite an inequality for the picture
below.
How would you write the inequality in words?
Evaluating inequalitiesWrite an inequality for the picture
below.
How would you write the inequality in words?
Evaluating inequalitiesWrite an inequality for the picture
below.
How would you write the inequality in words?
Evaluating inequalitiesWrite an inequality for the picture
below.
How would you write the inequality in words?
Evaluating inequalitiesWrite an inequality for the picture
below.
How would you write the inequality in words?
InequalitiesTranslate the verbal phrase into an algebraic
expression:
5 is not more than xInequalitiesTranslate the verbal phrase into
an algebraic expression:
Value of x is greater than or equal to 14InequalitiesTranslate
the verbal phrase into an algebraic expression:
X is greater than or equal to 12InequalitiesTranslate the verbal
phrase into an algebraic expression:
6 is not less than xInequalitiesTranslate the verbal phrase into
an algebraic expression:
Value of x is greater than 7InequalitiesTranslate the verbal
phrase into an algebraic expression:
X is greater than 15InequalitiesTranslate the verbal phrase into
an algebraic expression:
X is not more than 13InequalitiesTranslate the verbal phrase
into an algebraic expression:
9 is less than or equal to xinequality7-119.Croakie the Frogs
unknown position on a number line can be represented by the
variable p. Croakies choreographer established Croakies position
with the inequalityp + 7 < 18. Show all possible positions for
Croakie on a number line, and write an inequality representing his
positions.Graphing inequalities7-120.Solve each inequality below,
and graph the result on a number line. x + 2 1821 w - 3 f + 2 >
33 h + 6s - 10 < 8m + 13 > 45k -13 12
Math Notes solving and graphing inequalitiesAn equation always
has an equal sign. An inequality has a mathematical inequality
(comparison) symbol in it. To solve an equation or inequality means
to find all the values of the variable that make the equation true.
See the examples below.
Math Notes solving and graphing inequalitiesTo solve and graph
an inequality with one variable, first treat the problem as if it
were an equality and solve the problem. The solution to the
equality is called the boundary point.For example, to solvex 4 8,
solve x 4 = 8. The solution x = 12 is the boundary point for the
inequality x 4 8.
Math Notes solving and graphing inequalitiesSince the original
inequality is true when x = 12, place your boundary point on the
number line as a solid point. Then test one value on either side in
the original inequality to determine which set of numbers makes the
inequality true. This is shown with the examples of x = 8 and x =
15 below. Therefore, the solution is x 12.
Math Notes solving and graphing inequalitiesWhen the inequality
is < or >, the boundary point is not included in the answer.
On a number line, this would be indicated with an open circle at
the boundary point. For example, the graph of x < 7 is shown
below.
In ClosingHow do you accurately depict inequalities?
We will be writing and solving inequalities tomorrow.
