Download Solve and graphing one variable Inequalities

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Transcript
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Greater than
Greater than or equal to
Less than
Less than or equal to
Title: Nov 4­10:26 AM (1 of 11)
You can graph a solution to an equation or an inequality on a number line.
Equation: 5=x
Inequality:X>4
Title: Nov 21­1:46 PM (2 of 11)
A solution for an equation requires a point (a solid dot)
The arrow represents
a set of values that are all solutions.
A solid circle states that the solution is that value.
A solution for an inequality requires a point
(solid or open) and an arrow.
­1
X=-1
A solid circle states
that the solution set
will include that value.
0
An open circle states
X>-1
that the solution set
will not
include that va
­2
Title: Nov 21­12:51 PM (3 of 11)
To graph a solution to an equation,
place a point (a solid circle) on the correct value,
on the number line.
To graph a solution set for an inequality, choose the correct circle
for the inequality symbol used and then place the arrow the
direction of the solution set.
Title: Nov 21­1:09 PM (4 of 11)
Pull
Solve and graph:
lluP
1
Title: Nov 20­5:40 PM (5 of 11)
Pull
Solve and graph:
lluP
1
Title: Nov 20­5:40 PM (6 of 11)
Pull
Solve and graph:
lluP
­3+t>­7
1
Title: Nov 20­5:40 PM (7 of 11)
Pull
Solve and graph:
lluP
1
Title: Nov 20­5:40 PM (8 of 11)
Pull
Solve and graph:
lluP
1
Title: Nov 20­5:40 PM (9 of 11)
Solve and graph:
Pull
(be careful)
lluP
1
When you multiply or divide by a negative number the direction of the inequality switches
Title: Nov 20­5:40 PM (10 of 11)
343
#' 15 - 35
homework Page 343, numbers 15 ­ 35
Title: Nov 22­10:45 AM (11 of 11)