Question

I need to know if my answer to this question is correct (it's an assessment, not an assignment)

Answer 1

if you plug in coordinates (4,4) in your formula, is the answer smaller than 6?

Answer 2

Yes

Answer 3

2*4+3*4 = 8+12=20 >6, so it doesn't satisfy your inequality, right? I assume the shaded portion of the graph is what satisfies it, so it can't be D, nor can it be A. So between B and C, which one would you think it is? It can be smaller than 6, but not 6

Answer 4

Before I answer, all I need to do (for later questions) is pick a coordinate and put it into the equation right?

Answer 5

You first need to pick dotted versus solid. The < sign means dotted. ≤ would mean solid

Then to pick which side of the line is shaded, pick a point as m_char suggested. (0,0) is always an easy choice.

Answer 6

If you use 0,0 you find 0< 6 so you know 0,0 should be in the shaded part.

Answer 7

Ohh, so that would still narrow it down between B and C and then since I need a dotted versus, it would be C!

Answer 8

Bingo!

Answer 9

Sherlock Holmes could not have been better at deducing the answer.

Answer 10

Of the two dotted boundary graphs A and C, I tested the point (5,0). It should not be shade because 2(5) + 3(0) is not less than 6. That led me to graph C as the answer.

Answer 11

:D Thanks guys :D