a. Solve a – 9 = 20

b. Solve b – 9 > 20

c. How is solving the equation in (a) similar to solving the inequality in (b)?

d. How are the solutions different?

I don't know how to do this i forgot ... could u help (Steve, or Mrs.Sue, or Writeteacher plz help)

in both cases, add 9 to both sides

a = 29
b>29

In the first case, 29 is the only solution
In the second case 29 is not a solution but anything to the right of 29 on a number line is a solution, even 29.00001

thanks so much Damon!

Sure, I can help you solve these equations and explain the process to you.

a. To solve the equation a – 9 = 20, we need to isolate the variable "a".

1. Start with the equation: a – 9 = 20.

2. The goal is to get "a" by itself on one side of the equation. To do this, add 9 to both sides of the equation to undo the subtraction of 9:

a – 9 + 9 = 20 + 9.
Simplifying the equation, we have: a = 29.

Therefore, the solution to the equation a – 9 = 20 is a = 29.

b. To solve the inequality b – 9 > 20, we need to isolate the variable "b".

1. Start with the inequality: b – 9 > 20.

2. The goal is to get "b" by itself on one side of the inequality. Since we have a greater-than sign, we want to isolate "b" on the side where it's positive.

3. Add 9 to both sides of the inequality to undo the subtraction of 9:

b – 9 + 9 > 20 + 9.

4. Simplify the inequality:

b > 29.

Therefore, the solution to the inequality b – 9 > 20 is b > 29.

c. Solving the equation in (a) and the inequality in (b) are similar because both involve isolating the variable on one side. In both cases, we used addition to isolate the variable. However, in the inequality, we had to ensure to preserve the direction of the inequality by isolating the variable on the side where it's positive.

d. The solutions to the equation in (a) and the inequality in (b) are different. The equation has a single solution, which is a = 29. In contrast, the inequality has infinitely many solutions greater than 29, in other words, all numbers greater than 29 would satisfy the inequality b > 29.