Which is the graph of 2x + 3y > –3?

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2x+3y>-3

First we forget the inequality sign

2x+3y=-3

Then we solve for y

3y = -3-2x

3y=-2x-3

y=-\frac{2x}{3}-1

which is of the form y =mx +b

So here slope m is 2/3 and y intercept is -1 .

First we graph .

And then we have to check, which part need to be shaded . And for that , we take a testing point. Let it be (0,0) .

Now we plug this point in the given inequality that is 2(0)+3(0)>-3

0+0>-3

0>-3 which is true. SO we have to shade that part of the graph where point (0,0) belongs .

Step-by-step explanation:

y<-1-2/3 x

Step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3