Algebra 1 : Linear Inequalities
Study concepts, example questions & explanations for Algebra 1
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Example Questions
Example Question #31 : Writing Inequalities
Write the inequality: Four less than half a number is less than six.
Break up the sentence into parts.
Half a number:
Four less than half a number:
Is less than six:
Combine the terms to form the inequality.
The answer is:
Example Question #32 : Writing Inequalities
Write the inequality: Two less than twice a number is less than a half.
Break up the sentence into parts. Use a variable for the number.
Twice a number:
Two less than twice a number: 
Is less than a half:
Combine the terms.
The answer is:
Example Question #33 : Writing Inequalities
Write the inequality: A number squared less than seven is at least eight.
Break up the sentence into parts.
A number squared:
A number squared less than seven:
At least eight:
Combine the terms.
The answer is:
Example Question #34 : Writing Inequalities
Write the inequality: Five less than two times a number is no more than four.
Split the sentence into parts.
Two times a number:
Five less than two times a number:
Is no more than four:
Combine the parts.
The answer is:
Example Question #31 : Writing Inequalities
Write the inequality: Four less than three times a number is less than four.
Split the sentence into parts.
Three times a number:
Four less than three times a number:
Is less than four:
Combine the parts.
The answer is:
Example Question #21 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b
Write the inequality: Three less than a number is less than five.
Separate the sentence into parts.
Three less than a number:
Is less than five:
Combine the terms.
The answer is:
Example Question #37 : Writing Inequalities
Write the inequality: Four less than the quantity of four less than a number is less than four.
We will start this by separating the sentence into parts. Let the number be any variable.
The quantity of four less than a number:
Four less than the quantity of four less than a number:
Is less than four:
Combine the parts.
The correct answer is:
Example Question #38 : Writing Inequalities
Write the inequality: Two more than twice a number cannot be more than six.
Split the problem statement into parts.
Twice a number:
Two more than twice a number:
Cannot be more than six means that the number can be six, but cannot exceed six.
Combine the parts.
The answer is:
Example Question #39 : Writing Inequalities
Write the following inequality: Eight more than the square of a number is less than four.
Split the sentence into parts.
The square of a number:
Eight more than the square of a number:
Is less than four:
Combine the terms.
The answer is:
Example Question #40 : Writing Inequalities
Write the inequality: The quantity of six more than a number must be at least four and less than nine.
Break down the sentence into parts.
The quantity of six more than a number:
At least four:
Less than nine:
The inequalities may be combined into one whole.
The answer is:
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