Question

3x - 2y < -5

Answer 1

Answer: A. The wrong region is shaded

Step-by-step explanation:

Let's solve for y in the first equation.

3x−2y<−5

Step 1: Add -3x to both sides.

3x−2y+−3x<−5+−3x

−2y<−3x−5

Step 2: Divide both sides by -2.

$\frac{-2y}{-2}$< $\frac{-3x-5}{-2}$

y > $\frac{3}{2}x+\frac{5}{2}$

graph the equation using the slope $\frac{3}{2}$ and the y-intercept $\frac{5}{2}$

The line is dotted because it is > (not ≥)

shade in the left side by plugging in (0,0) into x and y and finding

0 is not > than $\frac{5}{2}$. This means you shade in the side not include the origin.

Do this same thing for the next equation.

Let's solve for y in the second equation.

x+4y>8

Step 1: Add -x to both sides.

x+4y+−x>8+−x

4y>−x+8

Step 2: Divide both sides by 4.

$\frac{4y}{4}$ > $\frac{-x+8}{4}$

y > $\frac{-1}{4}x+2$

graph the equation using the slope $-\frac{1}{4}$ and the y-intercept 2

(Dotted line), (plug in 0,0 and find 0 is not > than 2. So shade the region not including the origin (0,0).

Hope this helps.