y={(x+1;,x<-2),(x-2;,-2≤x<1),(x+3;,x≥1):}

It appears you're presenting a piecewise function \( y \) defined as follows:

\[ y = \begin{cases} x + 1 & \text{if } x < -2 \\ x - 2 & \text{if } -2 \leq x < 1 \\ x + 3 & \text{if } x \geq 1 \end{cases} \]

This function is defined on three intervals:

1. For \( x < -2 \), \( y = x + 1 \)
2. For \( -2 \leq x < 1 \), \( y = x - 2 \)
3. For \( x \geq 1 \), \( y = x + 3 \)

If you need further information or specific calculations regarding this function, such as evaluating it at certain points or plotting it, please let me know!