Which compound inequality is represented by the graph? answers: x < –4 or x ≥ 3 x < –4 and x ≥ 3 x ≤ –4 or x < 3 x ≤ –4 and x < 3

For this case, the first thing you should do is observe the solution set.
 We have then that the set of solution is given by:
 (-inf, -4) U [3, inf)
 Therefore, we have:
 For (-inf, -4):
 x <-4
 For [3, inf):
 x ≥ 3
 Thus, the inequality in the graph is:
 x <-4 and x ≥ 3
 
 x <-4 and x ≥ 3

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