Question

Which inequality is represented by the graph?

Answer 1

Answer:

B: 4/5x -2y ≥ 3

Step-by-step explanation:

The first thing I always look for is the y-intercept which in this case is around -1.5 (-$1\frac{1}{2}$). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around $\frac{2}{5}$. So now, your equation is y = $\frac{2}{5}$x -1 $\frac{1}{2\\}$. Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤ $\frac{2}{5}$x -1 $\frac{1}{2\\}$.

Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤  $\frac{4}{5}$x -3. The last step is to rearrange the inequality so that it matches the answers on the question.

3 ≤  $\frac{4}{5}$x - 2y

$\frac{4}{5}$x - 2y ≥ 3