Question 1

Solve. Express your answer using interval notation. $x + 6 < 1$

Accepted Answer

A)  $( - \infty , 5 )$ 
B)  $( - \infty , 5 ]$ 
C)  $( - \infty , - 5 ]$ 
D)  $( - 5 , \infty )$ 
E)  $( - \infty , - 5 )$ 
A)  $( - \infty , 5 )$ 
B)  $( - \infty , 5 ]$ 
C)  $( - \infty , - 5 ]$ 
D)  $( - 5 , \infty )$ 
E)  $( - \infty , - 5 )$

Question 2

Solve. Express your answer using interval notation. $5 x + 7 < 4 ( x - 1 ) - x$

Accepted Answer

A)  $\left( - \infty , - \frac { 2 } { 11 } \right]$ 
B)  $\left( - \infty , - \frac { 2 } { 11 } \right)$ 
C)  $\left( - \frac { 11 } { 2 } , \infty \right)$ 
D)  $\left( - \frac { 2 } { 11 } , 0 \right)$ 
E)  $\left( - \infty , - \frac { 11 } { 2 } \right)$ 
A)  $\left( - \infty , - \frac { 2 } { 11 } \right]$ 
B)  $\left( - \infty , - \frac { 2 } { 11 } \right)$ 
C)  $\left( - \frac { 11 } { 2 } , \infty \right)$ 
D)  $\left( - \frac { 2 } { 11 } , 0 \right)$ 
E)  $\left( - \infty , - \frac { 11 } { 2 } \right)$

Question 3

Solve the inequality. Express your answer in interval form. $x ^ { 2 } - 4 x + 1 \leq 0$

Accepted Answer

A)  $( 2,2 + \sqrt { 3 } ]$ 
B)  $( - \infty , 2 - \sqrt { 3 } ] \cup [ 2 + \sqrt { 3 } , \infty )$ 
C)  $[ 2 - \sqrt { 3 } , 2 + \sqrt { 3 } ]$ 
D)  $( 0,2 - \sqrt { 3 } ] \cup [ 2 + \sqrt { 3 } , 0 )$ 
E)  no solution 
A)  $( 2,2 + \sqrt { 3 } ]$ 
B)  $( - \infty , 2 - \sqrt { 3 } ] \cup [ 2 + \sqrt { 3 } , \infty )$ 
C)  $[ 2 - \sqrt { 3 } , 2 + \sqrt { 3 } ]$ 
D)  $( 0,2 - \sqrt { 3 } ] \cup [ 2 + \sqrt { 3 } , 0 )$ 
E)  no solution

Question 4

Solve. Express your answer using interval notation. $\frac { 9 } { 10 } \leq \frac { 7 x - 1 } { - 4 } \leq \frac { 91 } { 100 }$

Accepted Answer

A)  $\left[ \frac { 13 } { 35 } , \frac { 66 } { 175 } \right)$ 
B)  $\left[ \frac { 13 } { 35 } , \frac { 66 } { 175 } \right]$ 
C)  $\left( - \infty , - \frac { 66 } { 175 } \right] \cup \left[ - \frac { 13 } { 35 } , \infty \right)$ 
D)  $\left[ - \frac { 66 } { 175 } , - \frac { 13 } { 35 } \right]$ 
E)  $\left( - \frac { 66 } { 175 } , - \frac { 13 } { 35 } \right)$ 
A)  $\left[ \frac { 13 } { 35 } , \frac { 66 } { 175 } \right)$ 
B)  $\left[ \frac { 13 } { 35 } , \frac { 66 } { 175 } \right]$ 
C)  $\left( - \infty , - \frac { 66 } { 175 } \right] \cup \left[ - \frac { 13 } { 35 } , \infty \right)$ 
D)  $\left[ - \frac { 66 } { 175 } , - \frac { 13 } { 35 } \right]$ 
E)  $\left( - \frac { 66 } { 175 } , - \frac { 13 } { 35 } \right)$

Solve. Express your answer using interval notation. $x + 6 < 1$

Solve. Express your answer using interval notation. $5 x + 7 < 4 ( x - 1 ) - x$

Solve the inequality. Express your answer in interval form. $x ^ { 2 } - 4 x + 1 \leq 0$

Solve. Express your answer using interval notation. $\frac { 9 } { 10 } \leq \frac { 7 x - 1 } { - 4 } \leq \frac { 91 } { 100 }$

Fundamentals

Functions

Polynomial and Rational Functions Applications to Optimization

Exponential and Logarithmic Functions

An Introduction to Trigonometry Via Right Triangles

The Trigonometric Functions

Graphs of the Trigonometric Functions

Analytical Trigonometry

Additional Topics in Trigonometry

Systems of Equations

The Conic Sections

Roots of Polynomial Equations

Additional Topics in Algebra

Filters

Exam 2: Equations and Inequalities

Solve. Express your answer using interval notation. x+6<1x + 6 < 1x+6<1

Solve. Express your answer using interval notation. 5x+7<4(x−1)−x5 x + 7 < 4 ( x - 1 ) - x5x+7<4(x−1)−x

Solve the inequality. Express your answer in interval form. x2−4x+1≤0x ^ { 2 } - 4 x + 1 \leq 0x2−4x+1≤0

Solve. Express your answer using interval notation. 910≤7x−1−4≤91100\frac { 9 } { 10 } \leq \frac { 7 x - 1 } { - 4 } \leq \frac { 91 } { 100 }109​≤−47x−1​≤10091​

Fundamentals

Functions

Polynomial and Rational Functions Applications to Optimization

Exponential and Logarithmic Functions

An Introduction to Trigonometry Via Right Triangles

The Trigonometric Functions

Graphs of the Trigonometric Functions

Analytical Trigonometry

Additional Topics in Trigonometry

Systems of Equations

The Conic Sections

Roots of Polynomial Equations

Additional Topics in Algebra

Filters

Solve. Express your answer using interval notation. $x + 6 < 1$

Solve. Express your answer using interval notation. $5 x + 7 < 4 ( x - 1 ) - x$

Solve the inequality. Express your answer in interval form. $x ^ { 2 } - 4 x + 1 \leq 0$

Solve. Express your answer using interval notation. $\frac { 9 } { 10 } \leq \frac { 7 x - 1 } { - 4 } \leq \frac { 91 } { 100 }$