Solve the System of Inequalities p+4<=1 or p-1>=1

$p + 4 \leq 1$ or $p - 1 \geq 1$

Step 1

Move all terms not containing $p$ to the right side of the inequality.

Subtract $4$ from both sides of the inequality.

$p \leq 1 - 4$

Subtract $4$ from $1$ .

$p \leq - 3$

Step 2

Move all terms not containing $p$ to the right side of the inequality.

Add $1$ to both sides of the inequality.

$p \geq 1 + 1$

Add $1$ and $1$ .

$p \geq 2$

Step 3

The union consists of all of the elements that are contained in each interval.

$p \leq - 3$ or $p \geq 2$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$p \leq - 3 or p \geq 2$

Interval Notation:

$(- \infty, - 3] \cup [2, \infty)$

Step 5