Question

Solve each inequality. Graph the solution set on a number line.

$y-3>1ory+2<1$

Short answer

The solution of inequalities is $y>4ory<-1$

Step-by-step solution

-Write the inequalities 

The inequality for the numbers greater than 1 is $y-3>1$.

The inequality for the numbers less than 1 is $y+2<1$.

A compound inequality containing the word ‘or’ is true if one or more of the inequalities is true.

– Apply the definition of compound inequality

Write the compound inequality with word or as follows:

$y-3>1$ or $y+2<1$

$y>1+3$ or $y<1-2$

$y>4$ or $y<-1$

– Graph of the solution set 

The graph for the inequality $y>4$ or $y<-1$ is shown as below