Question

The inequality -42v + 33 < 8v + 91 is correct.
A) True
B) False.

Answer 1

The inequality -42v + 33 < 8v + 91 is true for any v greater than -1.16 after solving the inequality.

Step-by-step explanation:

To determine if the inequality -42v + 33 < 8v + 91 is true or false, we need to solve for v.

1. Add 42v to both sides of the inequality to get all v terms on one side:
2. -42v + 42v + 33 < 8v + 42v + 91
3. 0v + 33 < 50v + 91
4. 33 < 50v + 91
5. Subtract 91 from both sides of the inequality to isolate the term with v:
6. 33 - 91 < 50v + 91 - 91
7. -58 < 50v
8. Divide both sides by 50 to solve for v:
9. -58 / 50 < 50v / 50
10. -1.16 < v

This final inequality means that for any v greater than -1.16, the original inequality -42v + 33 < 8v + 91 holds true.