Question

Solve the inequality for b
10 ≥ - 2/3 (9+12B)

Answer 1

`10 \geq - (2)/(3) (9+12B)`


`10 \geq (-2)/(3)*9 +(-2)/(3)*12B`


`10 \geq (-2*3) +(-2*4B)`


`10 \geq -6 -8B`


`-8B \leq 10 + 6`


`-8B \leq 16`


`B \leq (16)/(-8) = -2`

B ≤ -2

Hence, B is any number less than or equal to -2.