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

1 Answer
Mar 29, 2016

Answer:

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.