Which inequality matches the graph?

−2x + 3y > 7

2x − 3y < 7

−3x + 2y ≥ 7

3x − 2y ≤ 7

The inequality that matches the graph is:

-3x+2y≥7

Step-by-step explanation:

since, from the graph we could clearly see that the shaded region is away from the origin hence by putting the origin point i.e.. (0,0) in the inequality the inequality must hold wrong so that (0,0) must not be included in the shaded region.

Also x-intercept must be negative and y-intercept must be positive.

so the inequality which holds all these conditions is:

-3x+2y≥7

( on putting (0,0) in the inequality we get:

0≥7 which is wrong.

Also x -intercept is:

-3x=7

x= -7/3= -2.33

and y-intercept is:

2y=7

y=7/2=3.5

)

Step-by-step explanation:

The inequality that matches the graph is:

-3x+2y≥7

Step-by-step explanation:

since, from the graph we could clearly see that the shaded region is away from the origin hence by putting the origin point i.e.. (0,0) in the inequality the inequality must hold wrong so that (0,0) must not be included in the shaded region.

Also x-intercept must be negative and y-intercept must be positive.

so the inequality which holds all these conditions is:

-3x+2y≥7

( on putting (0,0) in the inequality we get:

0≥7 which is wrong.

Also x -intercept is:

-3x=7

x= -7/3= -2.33

and y-intercept is:

2y=7

y=7/2=3.5

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

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step-by-step explanation: