Question

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

A. -10.5<3a
B. b/6 ≤ 7
C. -4.5c>9
D. - 21/5 ≤ - 5/2 d
E. e - 1/3 ≥ 11

Answer 1

Inequalities B and E 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 look for inequalities where the variable is divided by a negative number.

The inequalities B. b/6 ≤ 7 and E. e - 1/3 ≥ 11 have symbols that will be reversed when the variable is isolated.

When we isolate the variable in the inequality b/6 ≤ 7, we multiply both sides by 6. Since multiplying a negative value by a positive value gives a negative value, the inequality symbol will be reversed to b ≤ 42.

When we isolate the variable in the inequality e - 1/3 ≥ 11, we add 1/3 to both sides. Since adding a negative value to a positive value gives a smaller value, the inequality symbol will be reversed to e ≥ 33/3 which simplifies to e ≥ 11.