Question

Graph the compound inequality
x < -7 or x > -4
Plot the endpoints

Answer 1

Solution:

- Inequality: x < -7 or x > -4.
- Interval notation: (-∞, -7) ∪ (-4, ∞).
- Endpoints: -7 and -4 are not included (open circles).

How to draw:
- Draw a horizontal number line with ticks at ..., -8, -7, -6, -5, -4, -3, ...
- Put an open circle at -7 and shade the line to the left from that circle (arrow to the left).
- Put an open circle at -4 and shade the line to the right from that circle (arrow to the right).

ASCII sketch:

<---●----------------●--->
... -9 -8 -7 -6 -5 -4 -3 ...
(where ● represents an open circle; left shading from -7, right shading from -4)