84≥-7(v-9)

Rewrite so v is on the left side of the inequality.

-7(v-9)≤84

Divide each term in -7(v-9)≤84 by -7. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

-7(v-9)-7≥84-7

Cancel the common factor of -7.

Cancel the common factor.

-7(v-9)-7≥84-7

Divide v-9 by 1.

v-9≥84-7

v-9≥84-7

Divide 84 by -7.

v-9≥-12

v-9≥-12

Add 9 to both sides of the inequality.

v≥-12+9

Add -12 and 9.

v≥-3

v≥-3

The result can be shown in multiple forms.

Inequality Form:

v≥-3

Interval Notation:

[-3,∞)

Solve for v 84>=-7(v-9)