Algebra Examples

$3 p - 5 > 2 p + p - 7$

Step 1

Rewrite so $p$ is on the left side of the inequality.

$2 p + p - 7 < 3 p - 5$

Step 2

Add $2 p$ and $p$ .

$3 p - 7 < 3 p - 5$

Step 3

Move all terms containing $p$ to the left side of the inequality.

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Step 3.1

Subtract $3 p$ from both sides of the inequality.

$3 p - 7 - 3 p < - 5$

Step 3.2

Combine the opposite terms in $3 p - 7 - 3 p$ .

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Step 3.2.1

Subtract $3 p$ from $3 p$ .

$0 - 7 < - 5$

Step 3.2.2

Subtract $7$ from $0$ .

$- 7 < - 5$

Step 4

Since $- 7 < - 5$ , the inequality will always be true.

Always true

Step 5

The result can be shown in multiple forms.

Always true

Interval Notation:

$(- \infty, \infty)$