Question

Can anyone help me ?

Answer 1

Given:

1. $x+1 \leq-2$

2. $x-2>1$

To find:

The solution of the inequalities in set notation.

Solution:

Question 1.

$x+1 \leq-2$

Subtract 1 from both sides.

$x+1-1 \leq-2-1$

$x \leq-3$

The solution of the inequality in set notation = {x | x ≤ -3}

The graph of the inequality is attached below.

Question 2:

$x-2>1$

Add 2 on both sides.

$x-2+2>1+2$

$x>3$

The solution of the inequality in set notation = {x | x > 3}

The graph of the inequality is attached below.