Question

2. Which graph represents the solution

of 6 + 3y < 9 or 4y > 3y + 2?
Help please!!!!!

Answer 1

Answer: B.

Explanation:

First, we will solve both of these given inequalities for x by isolating the variables.

Given:

6 + 3y < 9

Subtract 6 from both sides of the equation:

3y < 3

Divide both sides of the equation by 3:

y < 1

--

Given:

4y > 3y + 2

Subtract 3y from both sides of the equation:

y > 2

Now, our given inequalities are y < 1 and y > 2. These inequalities are easier to view on the graph. We see that these are not equal to (≥ or ≤), so we will have open circles.

First, we will graph y < 1. We will plot an open circle at y = 1 and then shade to the left of it. Net, we will graph y > 2. We will plot an open circle at y = 2 and then shade to the right of it. This leaves us with answer option B.