Download Linear Inequalities

Linear Inequalities
1.
Which of the following shows the solution set for the inequality
5x – 1  9 ?
2.
Which of the following is the graph of 4  x ?
3.
Which of the following inequalities is represented by the shaded region below?
F. y  x + 1
G. y  x + 1
H. x + y  1
J. x + 1  1
K. y + 1  x
4.
Which of the following expresses all and only the values of x that satisfy |2x + 3| < 3 ?
A. -3 < x < 0
B. 0 < x < 3
C. x > 0
D. x < -3
E. x > -3
5.
To ride the “Big Dipper” Roller Coaster, a person has to be at least 4 feet tall. If h
represents the person’s height, in inches, this requirement can be indicated by which
of the following inequalities?
A. h < 48
B. h  48
C. h = 48
D. h  48
E. h > 48
6.
Which of the following is the solution statement for the inequality
4  2x  3  3x  1 ?
A.
B.
C.
D.
E.
x0
x0
x  95
x  95
x9
7. The graph below represents the solution of an inequality. Which of the following
specifies the same solution in an algebraic form?
F.
G.
H.
J.
K.
-3 = x = 4
-3  x  4
-3  x < 4
-3 < x  4
-3 < x < 4
8. Which of the following conditions on x determines when
(x – 2)(x + 3) – (x2 – 4) will be positive?
F.
G.
H.
J.
K.
x = -2
x 2
x  10
2x2  10
x2 – x  6
9. Which of the following identifies exactly those values of x that satisfy 5 – 2(3 – x) 
5x – 3(x – 1)?
F.
G.
H.
J.
K.
All real numbers
x  -1
x½
x½
No real numbers
10. Which of the following logical statements identifies the same set as the graph shown
below?
11. For what positive values of x is it true that x2 < 2x < x + 2?
A.
B.
C.
D.
E.
No positive values
Only positive values less than 2
Only positive values between 2 and 4
Only positive values greater than 4
All positive values