Given:
1. [tex]x+1 \leq-2[/tex]
2. [tex]x-2>1[/tex]
To find:
The solution of the inequalities in set notation.
Solution:
Question 1.
[tex]x+1 \leq-2[/tex]
Subtract 1 from both sides.
[tex]x+1-1 \leq-2-1[/tex]
[tex]x \leq-3[/tex]
The solution of the inequality in set notation = {x | x ≤ -3}
The graph of the inequality is attached below.
Question 2:
[tex]x-2>1[/tex]
Add 2 on both sides.
[tex]x-2+2>1+2[/tex]
[tex]x>3[/tex]
The solution of the inequality in set notation = {x | x > 3}
The graph of the inequality is attached below.
