Algebra 1 : Linear Inequalities
Study concepts, example questions & explanations for Algebra 1
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Example Questions
Example Question #21 : Linear Inequalities
Write the inequality: A number less than three is less than three.
Let a number be 
A number less than three:
Is less than three:
Combine all the terms.
The answer is:
Example Question #22 : Linear Inequalities
Write the inequality: Two more than three times a number is more than six.
Split up the sentence into parts. Let the number be 
Two more than three times a number:
More than six:
Combine the parts to form an inequality.
The answer is:
Example Question #21 : Linear Inequalities
Write the inequality: A number less than three is greater than five.
Break up the terms and rewrite by parts.
A number less than three:
Greater than five:
Combine the terms.
The answer is:
Example Question #11 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b
Write the following inequality: Two less than three times a number is less than four.
Break up the statement into parts. Let 
Three times a number:
Two less than three times a number:
Less than four:
Combine the terms.
The answer is:
Example Question #25 : Linear Inequalities
Write the inequality: Twice a number less than six is more than four.
Break up the inequality into parts. Let a variable be the number.
Twice a number:
Twice a number less than six:
Is more than four:
Combine the terms.
The answer is:
Example Question #26 : Linear Inequalities
Write the inequality: One less than twice the difference of five and twice a number is less than four.
In order to write this inequality, we need to break up the statement into parts.
Let the number be a random variable.
The difference of five and twice a number:
Twice the difference of five and twice a number:
One less than twice the difference of five and twice a number:
Is less than four:
Combine the terms.
The answer is:
Example Question #27 : Linear Inequalities
Write the following inequality: Five times a number less than five is less than negative five.
Convert each part of the sentence into mathematical expressions. Let a random variable be the number.
Five times a number:
Five times a number less than five:
Is less than negative five:
Combine the expressions.
The answer is:
Example Question #28 : Linear Inequalities
Write the inequality: Two less than eight times a number is at least seven.
Let a number be 
Eight times a number:
Two less than eight times a number:
Is at least seven:
Combine the terms.
The answer is:
Example Question #1351 : Algebra 1
Write the inequality: Eight more than two times a number is more than two.
Split the problem statement into parts.
Two times a number:
Eight more than two times a number:
Is more than two:
Combine the terms to make an equation.
The answer is:
Example Question #11 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b
Write the inequality: Seven more than a number is less than five.
Split the statement into parts.
Seven more than a number:
Is less than five:
Combine both parts to form an inequality.
The answer is:
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