4z-6.9>6.5+2z

Subtract 2z from both sides of the inequality.

4z-6.9-2z>6.5

Subtract 2z from 4z.

2z-6.9>6.5

2z-6.9>6.5

Add 6.9 to both sides of the inequality.

2z>6.5+6.9

Add 6.5 and 6.9.

2z>13.4

2z>13.4

Divide each term in 2z>13.4 by 2.

2z2>13.42

Cancel the common factor of 2.

Cancel the common factor.

2z2>13.42

Divide z by 1.

z>13.42

z>13.42

Divide 13.4 by 2.

z>6.7

z>6.7

The result can be shown in multiple forms.

Inequality Form:

z>6.7

Interval Notation:

(6.7,∞)

Solve for z 4z-6.9>6.5+2z