Algebra II : Inequalities
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Example Questions
Example Question #11 : Setting Up Inequalities
Set up the inequality: Four times the quantity of two less than three times a number is at most ten.
Break up the inequality into parts.
Three times a number:
Two less than three times a number:
The quantity of two less than three times a number:
Four times the quantity of two less than three times a number:
Is at most ten:
Combine the terms to form the inequality.
The answer is:
Example Question #12 : Setting Up Inequalities
Set up the following inequality: The product of two and the quantity of two less than five times a number must exceed twelve.
Split up the inequality into parts.
Five times a number:
Two less than five times a number:
The quantity of two less than five times a number:
The product of two and the quantity of two less than five times a number:
Must exceed twelve:
The answer is:
Example Question #13 : Setting Up Inequalities
Set up the inequality: Twice the quantity of three less than twice a number must be more than ten.
Break up the sentence into parts. Start with the inner quantity.
Twice a number:
Three less than twice a number:
The quantity of three less than twice a number:
Twice the quantity of three less than twice a number:
Must be more than ten:
Combine the terms to write the inequality:
The answer is:
Example Question #14 : Setting Up Inequalities
Set up the inequality: Four less than six times the square root of a number is at least five.
Break up the statement into parts.
The square root of a number:
Six times the square root of a number:
Four less than six times the square root of a number:
At least five:
Combine the parts to form the inequality.
The answer is:
Example Question #15 : Setting Up Inequalities
Set up the inequality: Five more than eight times a number must exceed fourteen.
Separate the sentence into parts and let the unknown number be 
Eight times a number:
Five more than eight times a number:
Must exceed fourteen:
Combine the parts to form the inequality.
The answer is:
Example Question #16 : Setting Up Inequalities
Set up the inequality: Four less than eight times the square root of twice a number cannot be more than three.
Start with the square root.
Square root of twice a number:
Eight times the square root of twice a number:
Four less than eight times the square root of twice a number:
Cannot be more than three:
Combine the parts to form the inequality.
The answer is:
Example Question #17 : Setting Up Inequalities
Set up the inequality: Four less than twice a number is less than six times another number.
Let 
Break up the sentence into parts.
Four less than twice a number:
Six times another number:
Less than:
Combine the terms to form the inequality.
The answer is:
Example Question #2051 : Algebra Ii
Set up the following inequality: Four less than twice a number is less than the eighty.
Set up the parts to form the inequality.
Twice a number:
Four less than twice a number:
Is less than eighty:
Combine the parts.
The answer is:
Example Question #19 : Setting Up Inequalities
Set up the inequality: Six less than twice a number squared must exceed eleven.
Break up the sentence into parts.
Twice a number squared:
Six less than twice a number squared:
Must exceed eleven:
Combine the parts to form the inequality.
The answer is:
Example Question #20 : Setting Up Inequalities
Write the inequality: Nine less than half a number squared is no greater than five.
Identify the parts of the inequality by breaking the sentence in parts.
Half a number squared:
Nine less than half a number squared:
Is no greater than five:
Combine the parts to form the inequality.
The answer is:
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