Algebra II : Setting Up Inequalities
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #21 : Setting Up Inequalities
Set up the inequality: The value of two less than eight times a number is between one and two.
Separate the parts of the sentence.
Two less than eight times a number:
If a quantity is between one and two, then the quantity cannot be one or two, and we will need to use less than signs.
The answer is:
Example Question #22 : Setting Up Inequalities
Set up the inequality: Seven less than twice a number exceeds eleven.
Break up the statement into parts.
Twice a number:
Seven less than twice a number:
Exceeds eleven cannot be 11:
Combine the parts to form the inequality.
The answer is:
Example Question #23 : Setting Up Inequalities
Set up the inequality: Four less than three times a number cannot exceed five.
Split the statement into parts.
Three times a number:
Four less than three times a number:
Cannot exceed five:
Cannot exceed five means that it can be five, but no more than five.
Combine the parts to form the inequality.
The answer is:
Example Question #21 : Setting Up Inequalities
Set up the inequality: Five less than four times a number squared is at most seven.
Break up the sentence into parts.
A number squared:
Four times a number squared:
Five less than four times a number squared:
Is at most seven:
Combine the parts.
The answer is:
Example Question #25 : Setting Up Inequalities
Write the inequality: The quantity of seven less than twice a number squared is no more than eleven.
Start with the inner quantity first.
Seven less than twice a number:
Square the quantity:
Is no more than eleven:
Combine the parts to form the inequality.
The answer is:
Example Question #26 : Setting Up Inequalities
Set up the inequality: Eight less than two-fifths of a number must exceed seven.
Break up the statement into parts.
Two-fifths of a number:
Eight less than two-fifths of a number:
Must exceed seven:
The answer is:
Example Question #27 : Setting Up Inequalities
Set up the inequality: Five less than the squared quantity of three less a number must be more than eight.
Evaluate the inner quantity first.
Three less a number:
The squared quantity of three less a number:
Five less than the squared quantity of three less a number:
Must be more than eight:
Combine the parts to set up the inequality.
The answer is:
Example Question #21 : Inequalities
Set up the inequality: Eight less than seven times a number squared is at most four.
Break up the sentence into parts.
A number squared:
Seven times a number squared:
Eight less than seven times a number squared:
Is at most four:
Combine the parts to form the inequality.
The answer is:
Example Question #29 : Setting Up Inequalities
Set up the inequality: Ten less than twice a number squared exceeds five.
Break up the inequality into parts.
Twice a number squared:
Ten less than twice a number squared:
Exceeds five:
The answer is:
Example Question #30 : Setting Up Inequalities
Set up the inequality:
Four times the quantity of seven less than three times a number cannot exceed eight.
Break up the sentence into parts.
Three times a number:
Seven less than three times a number:
Four times the quantity of seven less than three times a number:
Cannot exceed eight:
Combine the parts to form the inequality.
The answer is:
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