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
