Question

-3/5+8/5k-(3k-2)<0

Answer 1

Need to rewrite it so it is clearer.

Answer 2

\[\frac{-3}{5}+\frac{8}{5}k-(3k-2)<0\]

Answer 3

Let's multiply each term by 5 and get rid of those miserable fractions.

Answer 4

\[-3+8k-5(3k-2)<0\]

Answer 5

Now we need to remove the parentheses

Answer 6

\[-3+8k-15k+10<0\]

Answer 7

Collect the like terms

Answer 8

\[7-7k<0\]

Answer 9

Subtract 7 from both sides.

Answer 10

\[-7k<-7\]

Answer 11

Divide by negative 7 and reverse the inequality symbol.

Answer 12

\[k>1\]