Answer:
see the attached figure with the answers
see the explanation
Step-by-step explanation:
Part 1) we have
[tex]x>5[/tex]
The solution is the interval (5,∞)
All real numbers greater than 5
In a number line is the solution is the shaded area at right of x=5 (open circle, the value of x=5 is not included in the solution)
Part 2) we have
[tex]x<5[/tex]
The solution is the interval (-∞,5)
All real numbers less than 5
In a number line is the solution is the shaded area at left of x=5 (open circle, the value of x=5 is not included in the solution)
Part 3) we have
[tex]x\geq 5[/tex]
The solution is the interval [5,∞)
All real numbers greater than or equal to 5
In a number line is the solution is the shaded area at right of x=5 (closed circle, the value of x=5 is included in the solution)
Part 4) we have
[tex]x\leq 5[/tex]
The solution is the interval (-∞,5]
All real numbers less than or equal to 5
In a number line is the solution is the shaded area at left of x=5 (closed circle, the value of x=5 is included in the solution)
