Final answer:
The inequality y + x < 1 - x is solved by rearranging terms and combining like terms to get y < 1 - 2x, which shows the relationship between y and x.
Step-by-step explanation:
To solve the inequality y + x < 1 - x, we can rearrange the terms to isolate y on one side. Here are the steps to solve it:
- Add x to both sides of the inequality to bring all the x terms to one side: y + x + x < 1.
- Simplify the inequality by combining like terms: y + 2x < 1.
- Subtract 2x from both sides to solve for y: y < 1 - 2x.
This is the solution to the inequality, which shows the relationship between y and x. The inequality symbol indicates that y is less than 1 minus 2x.