Question

Which correctly describes how the graph of the inequality 5x + 2y ≥ 13 is shaded?

Above the solid line

Below the solid line

Above the dashed line

Below the dashed line

Answer 1

@jim_thompson5910

Answer 2

What do you get when you isolate y

Answer 3

I'm not sure, can you explain how to do that?

Answer 4

5x + 2y is the same as 2y + 5x

Answer 5

what will undo the +5x ?

Answer 6

adding or subtracting 5x to both sides?

Answer 7

which one?

Answer 8

subtracting?

Answer 9

yes

Answer 10

so \[\Large 2y \ge 13 - 2x\] \[\Large 2y \ge -2x + 13\]

Answer 11

what's next?

Answer 12

now you subtract 2x from both sides?

Answer 13

we want to isolate y

Answer 14

divide by 2?

Answer 15

yep

Answer 16

\[\Large 2y \ge -2x + 13\]

\[\Large y \ge \frac{-2x + 13}{2}\]

Answer 17

is the boundary solid? or dashed?

Answer 18

solid?

Answer 19

yep

Answer 20

where is the shading

Answer 21

below the line

Answer 22

why below?

Answer 23

oh sorry I meant above

Answer 24

why above?

Answer 25

Because it is greater than or equal to

Answer 26

correct, the y coordinates of the points in the solution set will be above the line

Answer 27

Yay!!! ^-^

Answer 28

Thanks!