Question

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

Answer 1

To solve for b in the inequalities, each one is handled separately and then combined. For the first inequality, the steps lead to b > 1. For the second, b <= 4. The final solution is 1 < b <= 4.

Step-by-step explanation:

To solve for b in the inequalities -3b - 5 < -8 or b - 4 ≤ 0, we will treat each inequality separately and then consider the solutions together:

• For the inequality -3b - 5 < -8, add 5 to both sides:
  -3b < -3.
  Next, divide both sides by -3, remembering to reverse the inequality:
  b > 1.
• For the inequality b - 4 ≤ 0, add 4 to both sides:
  b ≤ 4.

The solution to the compound inequality is that b can be any number greater than 1 or less than or equal to 4. Therefore, combining both solutions, we have:
1 < b ≤ 4.

Answer 2

problem 1:
-3b<-3
b>3

problem 2:
b-4<=0
b<=4