Algebra Examples

$2 c + 6 < 2 c + 9$

Step 1

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

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Step 1.1

Subtract $2 c$ from both sides of the inequality.

$2 c + 6 - 2 c < 9$

Step 1.2

Combine the opposite terms in $2 c + 6 - 2 c$ .

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Step 1.2.1

Subtract $2 c$ from $2 c$ .

$0 + 6 < 9$

Step 1.2.2

Add $0$ and $6$ .

$6 < 9$

Step 2

Since $6 < 9$ , the inequality will always be true.

Always true

Step 3

The result can be shown in multiple forms.

Always true

Interval Notation:

$(- \infty, \infty)$