Question

Solve for b.
- 3b-5> - 8 or b - 4 < 0

Answer 1

The solution to the inequality -3b-5>-8 or b-4<0 is b<1 and b<4.

Step-by-step explanation:

To solve for b in the given inequality -3b-5>-8 or b-4<0, we will solve each inequality separately:

First inequality:

-3b-5>-8

-3b>-8+5

-3b>-3

b<1

Second inequality:

b-4<0

b<4

Therefore, the solution is b<1 and b<4.

Answer 2

b<4

Step-by-step explanation:

- 3b-5> - 8 or b - 4 < 0

Solve the first inequality

- 3b-5> - 8

Add 5 to each side

- 3b-5+5> - 8 +5

-3b> -3

Divide by 3, flipping the inequality

-3b/-3 < -3/-3

b <1

Then solve the second inequality

b-4<0

Add 4 to each side

b<4

Put them back together

b<1 or <4

Merge them since they overlap

b<4