1. An integer "x" is multiplied by 3 and the result is then decreased by 3. That result is then increased by 4. Finally, that result is decreased by 2. In terms of x", what is the final result SHOW YOUR WORK and write a BRIEF explanation that justifies your answer. HINT: Your 15 marks answer must show a step by step solution that reflects the above statement.

Question

1. An integer "x" is multiplied by 3 and the result is then decreased by 3. That result is then increased by 4. Finally, that result is decreased by 2. In terms of x", what is the final result SHOW YOUR WORK and write a BRIEF explanation that justifies your answer. HINT: Your 15 marks answer must show a step by step solution that reflects the above statement.

Answer 1

Let's represent the statement in mathematical terms:

1. Start with "x"
2. Multiply "x" by 3: 3x
3. Decrease the result by 3: 3x - 3
4. Increase that result by 4: 3x - 3 + 4 = 3x + 1
5. Decrease that result by 2: 3x + 1 - 2 = 3x - 1

Therefore, the final result in terms of "x" is 3x - 1.

Explanation: We follow the given steps in order to manipulate the value of "x" accordingly. By performing the operations as described, we arrive at the final result of 3x - 1. Each step builds upon the previous one, leading us to the final expression.