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Inequalities Sample Questions

Question 1: Solve for unknown variable x, and write the answer using interval notation.


Answer:  

Explanation:  Expand the bracket. And, rearrange the terms to solve for 

 

Question 2: Solve for q.



Answer:  

Explanation:  Rearrange the terms to solve for q.

 

Question 3: Solve for r, and write the solution using interval notation.


Answer:  

Explanation:  Expand the bracket. And, rewrite the terms to solve for .

 

Question 4: Solve for unknown variable x, and write the solution using interval notation.


Answer:  

Explanation:  Subtract 2 from all parts of inequality.

 

Question 5: Solve for unknown variable x, and write the solution using interval notation.


Answer:  

Explanation:  Add 3 to all parts of inequality.


Question 6: Solve for y.

 

Answer:  

Explanation:  Add 3 to both sides of inequality.

 

Question 7: Solve for z, and write the answer using interval notation.

 

Answer:  

Explanation:  Rearrange the terms to isolate the z.

 

Question 8: Solve for a. And, show the solution on the number line.

 

Answer:  

Explanation:  Rearrange the terms to isolate the a.

 

Question 9: Solve for b. And, show the solution on the number line.

 

Answer:  



 

Explanation:  Add 4 to all sides of the inequality.

 

Question 10: Solve for x, write the interval solution. And, show the solution on the number line.

 or 

 

Answer:  



Explanation:  Solve each inequality.

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