Which test point holds true for the inequality 3/2 y - 2x > = 1 ? where does the shaded area lie for this inequality? the test point holds true for this inequality

 Start by isolating y on the left side of the inequality                          

3x+2y>5

2y>−2x+5∣:2

y>−32x+52

Now calculate the x and y-intercepts by making y=0 (for the x-intercept), and then x=0 (for the y-intercept).

These two points will allow you to draw the line

y=−32x+52

So,

x=0⇒y=+52

y=0⇒0=−32x+5⇒x=53

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!