Question

Solve the inequality: (8a - 27 lt 11b + 37).

a) (a gt 9 + 11b/8)

b) (a lt 11b/8 + 9)

c) (a gt 11b/8 - 9)

d) (a lt 9 - 11b/8)

Answer 1

To solve the inequality (8a - 27 < 11b + 37), isolate the variable 'a' by adding 27 to both sides and then dividing both sides by 8. The correct inequality form for 'a' is (a < 11b/8 + 8).

Step-by-step explanation:

To solve the inequality (8a - 27 < 11b + 37), we need to isolate the variable 'a' on one side of the inequality. Here are the steps:

1. Add 27 to both sides of the inequality: 8a < 11b + 64.
2. Divide both sides of the inequality by 8: a < (11b + 64) / 8.

Therefore, the correct inequality form for a is (a < 11b/8 + 8).