Question

Graph the inequalities 4x – 5y –10
x + 3y –12

Answer 1

do you have a greater than sign or a less than sign?

Answer 2

4x – 5y <_ –10
x + 3y _> –12

Answer 3

Can you solve them for y?

Answer 4

Thats what I need help with

Answer 5

\[4x-5y \le-10\]

Answer 6

Subtract 4x from both sides

Answer 7

\[-5y \le-4x-10\]

Answer 8

Yea I did that

Answer 9

Now divide both sides by -5 and don't forget to reverse the inequality symbol.

Answer 10

Then divide -5 does the sign flip?

Answer 11

\[y \ge\frac{4}{5}x+2\]

Answer 12

Now graph it. Mark 2 on the y axis. From that point, go up 4 and right 5

Answer 13

Ok. Are you ready for the second one?

Answer 14

\[x+3y \ge-12\]

Answer 15

yes

Answer 16

Subtract x from both sides.

Answer 17

\[3y \ge-x-12\]

Answer 18

Now divide both sides by 3

Answer 19

\[y \ge-\frac{1}{3}x-4\]

Answer 20

Now mark -4 on the y axis and then go down 1 and right 3.