Question

2(k + 4) - 3k < 14 (but the < is underlined)

Answer 1

you mean \[2(k+4) - 3k \leq 14\]

Answer 2

yes!

Answer 3

\[2k + 8 - 3k \leq 14\]\[-k \leq 6\]\[k \geq -6\]

Answer 4

and when do you have to change (reverse) the signs?

Answer 5

\[2k + 8 - 3k \le 14\]

\[-k \le 14 - 8\]

\[-k \le 6\]

\[k \ge -6\]

Answer 6

you mean how \[-k \leq 6\]became \[k \geq -6\]?

There's one way to think about it

Answer 7

yes that :)

Answer 8

when the variable is a minus then you just flip the sides over to change the variable to a positive

Answer 9

oh okay! :)

Answer 10

\[-k \leq 6\]to get rid of that negative sign on k, you can think of switching the left-hand-side and the right-hand-side by adding k to both sides, and then subtracting 6 from both sides \[0 \leq 6 + k\]\[-6 \leq k\]then it becomes clear that \[-6 \leq k\]is the same thing as \[k \geq -6\]

Answer 11

thanks! :)

Answer 12

your welcome :)