Question

Determine the type of boundary line and shading for the graph of the inequality -3x - y > -6

Answer 1

Dashed line with shading on the side that includes the origin.

Solid line with shading on the side that does not include the origin.

Dashed line with shading on the side that does not include the origin.

Solid line with shading on the side that includes the origin.

Answer 2

First check if origin is a solution to inequality:

2(0) + 0 > 4
0 > 4

This is false. Origin is not part of solution.

So answer is either B or C

Now we have a strict inequality: > instead of ≥
This means that points on line are NOT part of solution.
Therefore, we use a dashed line, not a solid line

SOLUTION: C.

Answer 3

Thanks! Can you help me with another? (:

Answer 4

sure

Answer 5

Choose the correct description of the graph of the compound inequality

x - 2 > -3 and 3x <_ 12

Answer 6

A number line with an open circle on -1, shading to the left, and a closed circle on 4, shading to the right.

A number line with a closed circle on -1, shading to the left, and an open circle on 4, shading to the right.

A number line with an open circle on -1, a closed circle on 4, and shading in between.

A number line with a closed circle on -1, an open circle on 4, and shading in between.

Sorry forgot the answers.

Answer 7

x − 1≤12 and 2x≥30
x≤13 and x≥15
A number line with a closed circle on 13, shading to the left, and a closed circle on 15, shading to the right.
['.'an open circle on a number line means the answer is just less than or greater than (< or >), but a closed circle means the answer is less than or equal to, or greater than or equal to (< or > with a line under it)]

Answer 8

Wait so I am confused by your answer..

Answer 9

open circle at -8

Answer 10

Where did you get 8 from..? The question was

Choose the correct description of the graph of the compound inequality

x - 2 > -3 and 3x <_ 12

A number line with an open circle on -1, shading to the left, and a closed circle on 4, shading to the right.

A number line with a closed circle on -1, shading to the left, and an open circle on 4, shading to the right.

A number line with an open circle on -1, a closed circle on 4, and shading in between.

A number line with a closed circle on -1, an open circle on 4, and shading in between.