Question

Which of the following values are solutions to the inequality 1 < 5 + 4x?

I. -1
II. 5
III. 2

Answer 1

Options II. 5 and III. 2 are solutions to the inequality 1 < 5 + 4x because both values are greater than -1 when solving the inequality.

Step-by-step explanation:

The student asked which of the following values are solutions to the inequality 1 < 5 + 4x. To find out which options are solutions, we can subtract 5 from both sides of the inequality to isolate the x term:

• 1 - 5 < 5 - 5 + 4x
• -4 < 4x
• -1 < x

Now we see that x must be greater than -1. Let's check each option:

1. I. -1 is not a solution because x must be greater than -1.
2. II. 5 is a solution because 5 is greater than -1.
3. III. 2 is also a solution because 2 is greater than -1.

So the solutions to the inequality from the given options are II. 5 and III. 2.