Question

Choose the correct description of the graph of the compound inequality:

a) x ≤ 8 or x ≥ 11
b) x ≤ 6 or x ≥ 14
c) x ≤ 7 or x ≥ 11
d) x ≤ 5 or x ≥ 12

Answer 1

The correct description of the compound inequality graph is 'x ≤ 7 or x ≥ 11' (option c), which means that x is in the solution set if it's less than or equal to 7, or greater than or equal to 11.

Step-by-step explanation:

The compound inequality in question is a description of a segment of the number line where x can take on any value less than or equal to a certain number or greater than or equal to another number. The correct description of the graph, according to the given options, is 'x ≤ 7 or x ≥ 11,' which is option (c). This means that x is part of the solution set if it is less than or equal to 7, or if it is greater than or equal to 11. To graph this inequality, you would shade the number line from negative infinity to 7 and from 11 to positive infinity, including the points at 7 and 11, as the ≤ and ≥ symbols indicate that these endpoints are included in the solution set.