Question

Given the equation 9m − 14 = 4m + 56 and the possible solution set S: {5, 14, 70, 112}:

Part A: Determine which integer(s) in the solution set makes the equation false. Show all work. (8 points)

Part B: Use a complete sentence to explain how you were able to determine which values make the equation false. (4 points)

Answer 1

Step-by-step explanation:

Don't mind the scribbled thing

Answer 2

Given

• Equation 9m - 14 = 4m + 56,
• Possible solution set S: {5, 14, 70, 112}

Part A

There are two ways to determine,

• one) to solve the equation and exclude everything not matching the solution,
• two) to substitute every element of the set into equation and confirm if equation is true or false

We'll go the first way, solve it

• 9m - 14 = 4m + 56
• 9m - 4m = 56 + 14
• 5m = 70
• m = 14

The integers that should be excludes from S are: {5, 70, 112}

Part B

• Using any of numbers 5, 70 or 112 will make equations false because they are not the solution of the equation.