Question

Which linear inequality represents the solution set graphed?
A) y > −2x − 3
B) y < −2x − 3
C) y ≤ −2x − 3
D) y ≥ −2x − 3

Answer 1

The red line is solid so we know it is an equal to sign, which leaves it at C and D.

Answer 2

yes im not good at liner things i have no idea

Answer 3

The way I always think of it is that if the solution is lower than the line, then y is less than or equal to the equation of the line (in this case, -2x - 3).

Answer 4

https://www.wolframalpha.com/input/?i=y+%E2%89%A4+%E2%88%922x+%E2%88%92+3

Answer 5

You can see it graphed at that link.

Answer 6

wow

Answer 7

You can also test it by inputting test points\[0 ≤ −2(0) − 3 \rightarrow 0 ≤ 0 − 3 \rightarrow 0 ≤ -3 \]\[y ≤ −2x − 3 \]
This is false.
\[y ≤ -2x - 3\]
\[-2 ≤ -2(-2) - 3 \rightarrow -2 ≤ 4 - 3 \rightarrow -2 ≤ 1\]
This is true.

Look at (0,0) and (-2,-2) on the graph.
The first coordinate is not in the graphed solution but the second coordinate is.

Answer 8

If not sure, always test the coordinates.