Solve the following equation and write your answer in set notation: 3(1+2x) < 7x. a. x b. x > 1 c. x < -1 d. x > -1

Question

Solve the following equation and write your answer in set notation: 3(1+2x) < 7x.

a. x < 1
b. x > 1
c. x < -1
d. x > -1

Answer 1

The inequality 3(1+2x) < 7x, after solving step by step, simplifies to x > 3, which is represented in set notation as x > 3. The answer is not in the provided options.

Step-by-step explanation:

We are asked to solve the inequality 3(1+2x) < 7x and represent our solution in set notation. Let's solve the inequality step by step:

1. Distribute the 3 across the parentheses: 3 + 6x < 7x.
2. Subtract 6x from both sides to get the x terms on one side: 3 < x.
3. This means our solution is x must be greater than 3, which in set notation is x .

The answer is not in the options provided, so there might be a typo in the original question or its options. To ensure accuracy, please double-check the problem statement.