Final answer:
The correct pair of inequalities representing the compound inequality -11 ≤ 2x+5 < 15 is 2x+5 ≥ -11 and 2x+5 < 15. This pair includes the lower bound (-11) and the upper bound (15) which specify the range of values that 'x' can take.
Step-by-step explanation:
The student asked to determine which pair of inequalities represents the compound inequality -11 ≤ 2x+5 < 15. A compound inequality is when two inequalities are combined into one statement by either 'and' (∧) or 'or' (∨). To represent this compound inequality as a pair of inequalities, we should split it into two parts where the first part contains the lower bound and the second part contains the upper bound. The correct pair of inequalities that represent the compound inequality given would thus be:
The first inequality states that 2x+5 must be greater than or equal to -11, while the second inequality states that 2x+5 must be less than 15. When you put both of these inequalities together, they describe all the values of 'x' that satisfy the original compound inequality. The other options provided do not correctly reflect the compound inequality as they do not have the correct lower bound or upper bound conditions.