Question
Solve-4(3x-1) +6x≥16 and graph the solution.
Hint:
Linear inequalities are expressions where any two values are compared by the inequality symbols <,>,≤&≥.
We are asked to solve the inequality and graph the solution.
The correct answer is: -2≥x
step 1 of 2:
Rearrange and solve the inequality:
Step 2 of 2:
Graph the inequality corresponding to the solution,
We use the complete line since we include the end point.
Whenever we have an inequality that has the symbol <= or >=, we use a complete line to graph the solution.
Related Questions to study
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Which of the given statements is true?
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The table shows the relationship between time and cost. Show that the relationship is linear, and then find the equation for the relationship.
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The table shows the relationship between time and cost. Show that the relationship is linear, and then find the equation for the relationship.
A linear equation is of the form , where m and c are constants.
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We are asked to shown that the relation is linear and find a linear equation for the data.
Neil and Yuki run a data entry service . Neil starts at 9 :00 Am and can type 45 words per minute. Yuki arrives at 10 :30 AM and can type 60 words per minute. Write and solve an inequality to find at what time yuki will have typed more words than neil. Let X represent the time in minutes.
Note:
Whenever we use the inequality symbol < or> we do not include the end point.
Neil and Yuki run a data entry service . Neil starts at 9 :00 Am and can type 45 words per minute. Yuki arrives at 10 :30 AM and can type 60 words per minute. Write and solve an inequality to find at what time yuki will have typed more words than neil. Let X represent the time in minutes.
Note:
Whenever we use the inequality symbol < or> we do not include the end point.
Which of the following statements about the given diagram is NOT true
Which of the following statements about the given diagram is NOT true
Use the given scatter plots to answer the questions.
a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.
b) Is there an outlier(s) in this data set? If so, approximately how old is that person and how much does he or she make in allowance each week?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your height and your allowance?
e) Do you think that being older means that you will get more allowance? In other words, do think this relationship is a causation or a correlation?
Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.
Use the given scatter plots to answer the questions.
a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.
b) Is there an outlier(s) in this data set? If so, approximately how old is that person and how much does he or she make in allowance each week?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your height and your allowance?
e) Do you think that being older means that you will get more allowance? In other words, do think this relationship is a causation or a correlation?
Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.
The measure of an angle is 5 times the measure of its complement. Find the measure of each angle.
The measure of an angle is 5 times the measure of its complement. Find the measure of each angle.
Use the given scatter plots to answer the questions.
a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.
b) Is there an outlier(s) in this data set? If so, approximately how tall is that person and how much does he or she make in allowance each week?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your height and your allowance?
e) Do you think that being taller means that you will get more allowance? In other words, do you think this relationship is causation or a correlation?
Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.
Use the given scatter plots to answer the questions.
a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.
b) Is there an outlier(s) in this data set? If so, approximately how tall is that person and how much does he or she make in allowance each week?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your height and your allowance?
e) Do you think that being taller means that you will get more allowance? In other words, do you think this relationship is causation or a correlation?
Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.
Two angles form a linear pair. The measure of one angle is twice measure of the other. Find the measure of each angle.
Two angles form a linear pair. The measure of one angle is twice measure of the other. Find the measure of each angle.
Use the given scatter plots to answer the questions.
a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.
b) Is there an outlier(s) in this data set? If so, approximately how old is that person?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your last name and your age?
It is not necessary that each and every scatter plot must have a relation among the set of data. If the points are completely scattered around the graph, we can deduce a relation for the graph.
Use the given scatter plots to answer the questions.
a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.
b) Is there an outlier(s) in this data set? If so, approximately how old is that person?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your last name and your age?
It is not necessary that each and every scatter plot must have a relation among the set of data. If the points are completely scattered around the graph, we can deduce a relation for the graph.
Use the given scatter plots to answer the questions.
a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.
b) Is there an outlier(s) in this data set? If so, approximately how many pets does that person(s) have?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your last name and the number of pets you have?
e) Are there other patterns that you notice about people’s last names and how many pets they have?
It is possible to have more than one outlier in a scatter plot. It shows the distribution of data.
Use the given scatter plots to answer the questions.
a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.
b) Is there an outlier(s) in this data set? If so, approximately how many pets does that person(s) have?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your last name and the number of pets you have?
e) Are there other patterns that you notice about people’s last names and how many pets they have?
It is possible to have more than one outlier in a scatter plot. It shows the distribution of data.
Choose the simple sentence
Choose the simple sentence
Solve the inequality and graph the solution:
3x-8≥4(x-1.5)
Note:
Whenever you divide or multiply an inequality with a negative number, you change the direction of the symbol used.
Solve the inequality and graph the solution:
3x-8≥4(x-1.5)
Note:
Whenever you divide or multiply an inequality with a negative number, you change the direction of the symbol used.