Graphing Inequalities !
Page 5 !
Graph each Inequality:
1.
x > 2!
2. x ≤ −4 !
x is on the large open side.
The inequality is read
x is greater than 2
Place an open circle at 2
and shade all real numbers
to the right of 2.
!
2
x is on the small pointy side.
A line is under the inequality sign
The inequality is read
x is less than or equal to − 4
!
Place an closed circle at − 4
and shade all real numbers
to the left of − 4.
–4
!
3. –2 > x !
4. –1 ≤ x !
x is on the small pointy side.
A line is under the inequality sign
The inequality is read
x is less than or equal to − 1
x is on the small pointy side
The inequality is read
x is less than − 2
!
Place an open circle at − 2
and shade all real numbers
to the left of − 2.
–2
!
5.
!
!
Place an closed circle at − 1
and shade all real numbers
to the left of − 1.
–1
!
!
6. –2 < x
4>x!
x is on the small pointy side
The inequality is read
x is less than 4
x is on the large open side.
The inequality is read
x is greater than − 2
!
Place an open circle at 4
and shade all real numbers
to the left of 4.
!
!
4
Math 30 !
Place an open circle at − 2
and shade all real numbers
to the right of − 2.
!
–2
!
Chapter 8 page 5!
!
© 2016 Eitel
Page 5 continued
7. x ≤ 0 !
8. x > 3!
x is on the small pointy side.
A line is under the inequality sign
The inequality is read
x is less than or equal to 0
x is on the large open side.
The inequality is read
x is greater than 3
!
Place an open circle at 3
and shade all real numbers
to the right of 3.
Place an closed circle at 0
and shade all real numbers
to the left of 0.
0
9.
3
! !
x > 10 !
10. 8 > x
x is on the large open side.
The inequality is read
x is greater than 10
x is on the small pointy side
The inequality is read
x is less than 3
!
Place an open circle at 10
and shade all real numbers
to the right of 10.
10
!
Place an open circle at 3
and shade all real numbers
to the left of 3.
8
!
11. x ≤ −2 !
12. 5 ≤ x
x is on the small pointy side.
A line is under the inequality sign
The inequality is read
x is less than or equal to − 2
x is on the small pointy side.
A line is under the inequality sign
The inequality is read
x is less than or equal to 5
!
Place an closed circle at − 2
and shade all real numbers
to the left of − 2.
!
Place an closed circle at 5
and shade all real numbers
to the left of 5.
!
–2
Math 30 !
!
5
!
Chapter 8 page 5!
!
© 2016 Eitel