Algebra Examples

$4 z - 4 - 2 z > 8 - 6$

Step 1

Subtract $2 z$ from $4 z$ .

$2 z - 4 > 8 - 6$

Step 2

Subtract $6$ from $8$ .

$2 z - 4 > 2$

Step 3

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

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Step 3.1

Add $4$ to both sides of the inequality.

$2 z > 2 + 4$

Step 3.2

Add $2$ and $4$ .

$2 z > 6$

Step 4

Divide each term in $2 z > 6$ by $2$ and simplify.

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Step 4.1

Divide each term in $2 z > 6$ by $2$ .

$\frac{2 z}{2} > \frac{6}{2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{2 z}{2} > \frac{6}{2}$

Step 4.2.1.2

Divide $z$ by $1$ .

$z > \frac{6}{2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $6$ by $2$ .

$z > 3$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$z > 3$

Interval Notation:

$(3, \infty)$