6b-5≤7b+7

Subtract 7b from both sides of the inequality.

6b-5-7b≤7

Subtract 7b from 6b.

-b-5≤7

-b-5≤7

Add 5 to both sides of the inequality.

-b≤7+5

Add 7 and 5.

-b≤12

-b≤12

Multiply each term in -b≤12 by -1. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

(-b)⋅-1≥12⋅-1

Multiply (-b)⋅-1.

Multiply -1 by -1.

1b≥12⋅-1

Multiply b by 1.

b≥12⋅-1

b≥12⋅-1

Multiply 12 by -1.

b≥-12

b≥-12

The result can be shown in multiple forms.

Inequality Form:

b≥-12

Interval Notation:

[-12,∞)

Evaluate 6b-5<=7b+7