Question

How do you solve and graph `3x < -9` or `x + 2 ≥ 10`?

Answer 1

For, 1-D graph, it is real line sans the segment for `-3<=x<8`..
The point x = 8 is included. The point x =`-3` is excluded.

Explanation:

`x<-3 and x > 8`.

For 2-D graph of {(x, y)}, y = 3x < `-9` and y = x + 2 > 10, draw the straight lines, `+-3` and x + 8 parallel to the y-axis. Shade the region outside this strip, including the line x = 8. In this region, x is governed by the inequalities.

For 3_D graph of {(x, y, z)}, these lines become planes parallel to yz-plane ( x = 0 ). For the region outside, including the plane x = 8, the space is governed by the inequalities for x.