Question

Select all the inequalities that have symbols that will be reversed when the variable is isolated.

a. -10.5 < 3a
b. 6 ≥ 7
c. -4.5c > 9
d. -215 ≤ -52d
e. -13 ≥ 11

Answer 1

None of the given inequalities have symbols that will be reversed when the variable is isolated.

Step-by-step explanation:

To determine which inequalities have symbols that will be reversed when the variable is isolated, we need to understand the rules for reversing inequality symbols. When multiplying or dividing by a negative value, the inequality symbol is reversed. Let's analyze each inequality:

1. -10.5 < 3a: No variable is being isolated, so no reversal occurs.
2. 6 ≥ 7: No variable is being isolated, so no reversal occurs.
3. -4.5c > 9: No variable is being isolated, so no reversal occurs.
4. -215 ≤ -52d: No variable is being isolated, so no reversal occurs.
5. -13 ≥ 11: The variable is being isolated, and no multiplication or division by a negative value is involved, so no reversal occurs.

Therefore, the inequalities that have symbols that will be reversed when the variable is isolated are

None

.