Final answer:
To solve the inequality 2x + 1 > 5, you subtract 1 from both sides and then divide by 2 to isolate x, resulting in the solution x > 2.
Step-by-step explanation:
The student's question revolves around solving the inequality 2x + 1 > 5. To find the range of values for x that satisfy this inequality, we need to isolate x. Here's how you do this step by step:
- Start with the inequality 2x + 1 > 5.
- Subtract 1 from both sides to get 2x > 4.
- Divide both sides by 2 to find the solution x > 2.
Thus, any value of x that is greater than 2 will make the inequality true. For example, if x was 3, then plugging it into the inequality would yield 2(3) + 1 = 7, which is greater than 5, confirming the solution is correct.