Answer:
k=(5x+6)/(3x+6) and k<3/5
Step-by-step explanation:
- 3k(x+2)+2 = 5x+8
- 3k(x+2)=5x+6
- 3k=(5x+6)/(x+2)
- k=(5x+6)/(3x+6)
it is solved for k
and considering the condition for x<3:
- 3k(x+2)+2 = 5x+8
- 3kx+6k=5x+6
- (5-3k)x=6k-6
- x= (6k-6)/(5-3k)
- x<3 ⇒ (6k-6)/(5-3k)<3 ⇒ 6k-6<15-9k ⇒ 15k<9 ⇒ k<9/15 ⇒ k<3/5
So,
k=(5x+6)/(3x+6) and k<3/5
