Choosing the smallest exponent when the choices include fractions and negative numbers
Assigning the correct signs in intervals on the sign line
Recognizing the solution when a factor of the expression is x
Determining which solutions are viable and which are extraneous
Squaring binomials correctly when working with radical equations
Finding the correct format for a binomial’s conjugate
Using Interval and Inequality Notation
61–70 Write the expression using the indicated notation.
61. Write the expression
in interval notation.62. Write the expression
in interval notation.63. Write the interval notation
as an inequality expression.64. Write the interval notation
as an inequality expression.65. Describe the graph using inequality notation.
Illustration by Thomson Digital
66. Describe the graph using inequality notation.
Illustration by Thomson Digital
67. Describe the graph using inequality notation.
Illustration by Thomson Digital
68. Describe the graph using interval notation.
Illustration by Thomson Digital
69. Describe the graph using interval notation.
Illustration by Thomson Digital
70. Describe the graph using interval notation.
Illustration by Thomson Digital
Solving Linear Inequalities
71–74 Solve the inequality for x.
71.
72.
73.
74.
Solving Quadratic Inequalities
75–80 Solve the nonlinear inequality for x.
75.
76.
77.
78.
79.
80.
Solving Absolute Value Inequalities
81–85 Solve the absolute value inequality for x.
81.
82.
83.
84.
85.
Working with Radicals and Fractional Notation
86–89 Change the expression using rules for fractional exponents.
86. Rewrite the radical expression
with a fractional exponent.87. Rewrite the radical expression
with a fractional exponent.88. Rewrite the fractional exponent
as a radical expression.89. Rewrite the fractional exponent
as a radical expression.Performing Operations Using Fractional Exponents
90–94 Simplify the expression.
90.
91.
92.
93.
94.