Which is the graph of the linear inequality 2x – 3y < 12? on a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). everything to the right of the line is shaded. on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). everything to the right of the line is shaded. on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). everything to the left of the line is shaded. on a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). everything to the left of the line is shaded.

A dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

Step-by-step explanation:

To graph the solution set of the inequality 2x - 3y < 12, first plot the dashed line 2x - 3y = 12 (dashed because the inequality has sign < without notion "or equal to"). This line passes through the points (0,-4) and (3,-2) (their coordinates satisfy the equation of the line). this line has positive slope because

and the slope of the line is 2/3.

Now, identify where the origin is (in the region or outside the region). Substitute (0,0) into the inequality:

This means coordinates of the origin satisfy the inequality, so origin belongs to the shaded region. Thus, shade that part which contains origin.

gaddgad

step-by-step explanation:

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".