Practice problem
Let a,b∈Ra,b \in \mathbb{R}a,b∈R. Which of the following are true about graphing compound inequalities?
x≤ax \le ax≤a OR x≥bx \ge bx≥b has a different graph from x≤ax \le ax≤a AND x≥bx \ge bx≥b.
The graph of x≤ax \le ax≤a OR x≥bx \ge bx≥b is always unbounded (i.e. goes off to infinity).
The graph of x≤ax \le ax≤a AND x≥bx \ge bx≥b is always unbounded (i.e. goes off to infinity).
There exists at least one solution to x≤ax \le ax≤a AND x≥bx \ge bx≥b if and only if a≥ba \ge ba≥b.
The graph of x≤ax \le ax≤a OR x≥bx \ge bx≥b is always two intervals with a gap in between.
Type a concept, like “slope” or “photosynthesis”.