00 is infinity
6. x\ge \:-2 or x>5
Interval notation (-00, -2] U (5,00)
what will be the plotting points on the number line.
7. (-00,1]U (3,00) what will be the plotting points on a number line.
8. (-00,-2)U(8,00)what will be the plotting points on a number line.
9. [-00,-6) U [-4, 00) what will be the plotting points on a number line.
try typing your inequalities at wolframalpha. For example,
http://www.wolframalpha.com/input/?i=x+%3C%3D+-2+or+x+%3E+5
To plot the intervals on a number line, you need to understand the notation used and then mark the corresponding points on the number line.
In interval notation, the symbol (-∞) represents negative infinity, and (∞) represents positive infinity. The symbol "U" denotes the union of two intervals.
1. For the interval (-∞, -2] U (5, ∞):
- Mark a closed circle on -2, indicating that it is included in the interval.
- Then, draw a solid line to the right of -2 to represent all the values greater than -2.
- The same applies to the interval (5, ∞), where you mark an open circle on 5 and draw a solid line to the right representing all the values greater than 5.
2. For the interval (-∞, 1] U (3, ∞):
- Mark a closed circle on 1 and draw a solid line to the left representing all the values less than or equal to 1.
- Similarly, mark an open circle on 3 and draw a solid line to the right representing all the values greater than 3.
3. For the interval (-∞, -2) U (8, ∞):
- Mark an open circle on -2 and draw a dashed line to the left representing all values less than -2.
- Also, mark an open circle on 8 and draw a dashed line to the right representing all values greater than 8.
4. For the interval [-∞,-6) U [-4, ∞):
- Mark a closed circle on -6 and draw a dashed line to the left representing all values less than -6 (not including -6).
- Similarly, mark a closed circle on -4 and draw a dashed line to the right representing all values greater than or equal to -4.
Remember, closed circles represent that the endpoint is included in the interval, while open circles indicate that the endpoint is not included. Solid lines represent values that are included, and dashed lines represent values that are not included.