Question

Solve for b 30b+53≥18b−83

Answer 1

To solve the inequality 30b + 53 ≥ 18b - 83 for b, subtract 18b from both sides, subtract 53 from both sides, divide by 12, and simplify to find b ≥ -11.⅓.

Step-by-step explanation:

To solve for b in the inequality 30b + 53 ≥ 18b - 83, follow these steps:

1. Subtract 18b from both sides to get 30b - 18b + 53 ≥ -83.
2. Simplify the equation by combining like terms on both sides to get 12b + 53 ≥ -83.
3. Subtract 53 from both sides to get 12b ≥ -136.
4. Divide both sides by 12 to solve for b, which gives us b ≥ -136/12.
5. Simplify the fraction to get the solution in its simplest form b ≥ -11.⅓ or approximately b ≥ -11.33.

Therefore, any value of b that is greater than or equal to -11.33 is a solution to the inequality.

Answer 2

Step-by-step explanation:

30b + 53 ≥ 18b - 83

30b - 18b ≥ -83 - 53

12b ≥ -136

b ≥ -
`(136)/(12)`