https://file.aiquickdraw.com/mathbot/file/1726111699501x05z1evg.jpg

The inequality given in the image is:

\[
y > x + 3
\]

We are asked to substitute \( x = 1 \) into this inequality and find the set of values for \( y \) that satisfy the inequality.

### Step 1: Substitute \( x = 1 \) into the inequality.

\[
y > 1 + 3
\]

This simplifies to:

\[
y > 4
\]

### Step 2: Identify matching values for \( y \).

The inequality \( y > 4 \) means that any value of \( y \) greater than 4 will satisfy the inequality. Therefore, possible values for \( y \) could be:

- \( y = 5 \)
- \( y = 6 \)
- \( y = 10 \), etc.

In general, \( y \) can be any number greater than 4.

Would you like further details or have any other questions about this problem?

Here are 5 related questions you might consider:

1. What happens if we change the inequality to \( y \geq x + 3 \)?
2. How would the solution change if \( x \) were a different number, say \( x = 2 \)?
3. What is the graphical representation of the inequality \( y > x + 3 \)?
4. How can we solve similar inequalities involving negative numbers for \( x \)?
5. What is the solution for \( y \) if the inequality were \( y < x + 3 \)?

**Tip**: When solving inequalities, always consider the boundary values and whether they are included (for \( \geq \) or \( \leq \)) or excluded (for \( > \) or \( < \)).

For this two-variable inequality, put the number 1 in for x and select the set of matching numbers for y. The inequality is y > x + 3.

Learn how to solve the inequality y > x + 3 by substituting x = 1. Find out which values of y satisfy the inequality with a step-by-step solution. This problem covers key algebra concepts like inequalities and substitution, suitable for students in Grades 6-8.

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