Question

Solve for B

Answer 1

Answer: b < -15/13 or b ≥ 4/7

Step-by-step explanation:

-13b - 12 > 3 can be simplified to -13b > 15 through subtraction. Then, dividing by a negative number flips the greater than sign to a less than, so you get b < -15/13 .

The other equation can be solved in the same way. 14b ≥ 8 is found through addition; and dividing by a positive number doesn't flip the greater than or equal to sign, so you end up with b ≥ 8/14, which simplifies to b ≥ 4/7.

These solutions diverge, or go in opposite directions: one is a less than equation, and the other a greater than, so you're looking for an answer with an 'or' in between them. Therefore, you can eliminate the answers on the top left and bottom right, which converge.

You can also eliminate the answer on the top right, because it has a less than or equals to symbol in the b < -15/13 equation where it's supposed to be a simple < symbol.