Download 04-JOURNAL-Graphing Systems of inequalities (2)

Journal – Graphing Systems of Linear Inequalities
Graph each system of inequalities. Remember to double-shade the solution area. Check if each ordered pair is in the solution set.
a.
1
y < x+3
3
1
y > − x−2
2
(-6, 1) __
b. x < 2
y<3
(2, 3)
(0, 0)
(0, 3)
(2, 0)
(-2, -2)
(0, 0) __
(0, 3) __
(0, -2) __
__
__
__
__
__
c. y ≥ 2 x − 4
2 x + 3 y < 12
(0, 0)
(3, 2)
(0, 4)
(0, -4)
(2, 2)
__
__
__
__
__
Practice Writing Linear Inequalities
Symbol
Verbal Description
Graph, Endpoint and Line Type
Examples
His wage is less than $8 per hour.
<
Less than
>
Greater than
≤
≥
≠
=
−
= 𝟐𝟐 ∗
= 𝟑𝟑 ∗
Open Endpoint
------
Dashed Line
𝒘𝒘 < 𝟖𝟖
She works more than 20 hours per week.
•
•
•
Less than or equal to
Not more than
At most
•
Greater than or equal
to
At least
•
Open Endpoint
Closed Endpoint
Closed Endpoint
------
____
____
Dashed Line
𝒉𝒉 > 𝟐𝟐𝟐𝟐
To order the kids’ meal, you must be not more than 12
years old.
Solid Line
𝒂𝒂 ≤ 𝟏𝟏𝟏𝟏
You must be 18 or older to vote.
You must be at least 18 years old to vote.
Solid Line
𝒂𝒂 ≥ 𝟏𝟏𝟏𝟏
I can meet you anytime except 2pm.
Not equal to
Open Endpoint
9
Equal to
Closed Endpoint
------
____
Dashed Line
𝒕𝒕 ≠ 𝟐𝟐
The average test score was 84.
Solid Line
𝑻𝑻 = 𝟖𝟖𝟖𝟖
Example 1:
Four less than twice a number equals 12.
•
•
•
•
Less than
Subtracted from
Twice as many
Three times as many
Not Applicable (N/A)
Not Applicable (N/A)
𝟐𝟐𝟐𝟐 − 𝟒𝟒 = 𝟏𝟏𝟏𝟏
Example 2:
Anthony threw the ball 10 feet less than Rufus.
Anthony’s throw was 10 feet less than Rufus.
𝒂𝒂 = 𝒓𝒓 − 𝟏𝟏𝟏𝟏
Kenneth scored twice as many points as Andre.
Kenneth’s score was twice as much as Andre’s.
𝒌𝒌 = 𝟐𝟐𝟐𝟐