Welcome to GreeneMath.com, your source for free math help!
Compound Inequalities Test
About Solving Compound Inequalities:

A compound inequality is an inequality that is linked with a connective word such as ‘and’ or ‘or’. The solution for a compound inequality with ‘and’ is the intersection of the two solutions sets. The solution for a compound inequality with ‘or’ is the union of the two solutions sets.

Test Objectives:

•Demonstrate the ability to solve a compound inequality with "and"

•Demonstrate the ability to solve a compound inequality with "or"

•Demonstrate the ability to graph the solution for a compound inequality

Solving Compound Inequalities Test:




#1:


Instructions: Solve each inequality, write the solution in interval notation, and graph the interval.


a) 3r - 7 ≤ r + 7 and 11r + 7 > 6r - 3


Watch the Step by Step Video Solution  
|
   View the Written Solution



#2:


Instructions: Solve each inequality, write the solution in interval notation, and graph the interval.


a) -2 - 12n ≤ -15n - 14 and 2n + 9 ≤ n + 2


Watch the Step by Step Video Solution  
|
   View the Written Solution



#3:


Instructions: Solve each inequality, write the solution in interval notation, and graph the interval.


a) -2(6 - 7x) < 16 + 7x and 13x + 7 ≥ 12x + 13


Watch the Step by Step Video Solution  
|
   View the Written Solution



#4:


Instructions: Solve each inequality, write the solution in interval notation, and graph the interval.


a) 2(2 + 4n) < -12 or 9n + 19 > 46


Watch the Step by Step Video Solution  
|
   View the Written Solution



#5:


Instructions: Solve each inequality, write the solution in interval notation, and graph the interval.


a) 7 - 20v ≥ 67 or 8v + 9 ≥ -95


Watch the Step by Step Video Solution  
|
   View the Written Solution



Written Solutions:




#1:


Solution:


a) -2 < r ≤ 7


(-2,7]


graphing an interval on a number line


Watch the Step by Step Video Solution



#2:


Solution:


a) n ≤ -7


(-∞,-7)


graphing an interval on a number line


Watch the Step by Step Video Solution



#3:


Solution:


a) No solution



Watch the Step by Step Video Solution



#4:


Solution:


a) n < -2 or n > 3


(-∞,-2) ∪ (3,∞)


graphing an interval on a number line


Watch the Step by Step Video Solution



#5:


Solution:


a) All real numbers


(-∞,∞)


graphing an interval on a number line


Watch the Step by Step Video Solution