Problems on interval notation


Assignment:

Q1. The sets A and B are defined as follows.
A = { x | x > 3}
B = { x | x ≥ 7}
 
Write A ∩ B and A U B using interval notation.
If the set is empty, write Φ .

Q2. Graph the system below and write its solution.
{ 2x + y = 4
{ y = -1/3 x - 1
      
Note that you can also answer "No solution" or "Infinitely many solutions."

Q3.  Solve the compound inequality.
4y + 2 > - 14 or 3y + 5 > 2
Write the solution in interval notation.
If there is no solution, enter Φ .

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Problems on interval notation
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