Consider the inequalities y 2x + 3, which is true?

a. the line would be solid with shading above

b. the line with be duchess with shading above

c. the line would be solid with shading below

d. none of this

please answer this guys:-(

For the inequalities

For Case (1)

Option d will be chosen as correct option

hence " none of these" will be the answer  

For Case (2)

Option b will be chosen as correct option

hence " The line with be duchess with shading above " will be the answer  

Since the sign of the inequality here is not clear let us consider 2 cases that are represented by equation (1) and equation (2)

Considering case 1 as represented by equation (1)

The y values are always less than the expression for the line 2x+3 hence points on the line will not be included for this inequality hence the line will be duchess with area below the line.

So in this case option d will be chosen as correct option

hence " none of these" will be the answer  

Similarly now considering case 2 as  represented by equation (2)

The y values are always more than the expression for the line 2x+3 hence

points on the line will not be included for this inequality hence the line will be duchess with area above the line.

So in this case option b will be correct.

Note :

The lines will be solid when  the inequalities in equation (1) and (2) also include equal to sign.

That is for lines to be solid

the inequalities will be of type

For more information please refer to the link below

link

The line with be duchess with shading below.

None of the above

Step-by-step explanation:

The correct inequality expression is;

y < 2x+3

Note that the inequality sign between the expressions is the one that will determine the nature of the line.

Since the sign is not containing the "equal to" sign this means that the line will be broken(duchess).

Since it is "less than", the shading will be below the line.

Considering the given option, None of the option is correct

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