Question

Math Post Q3 What inequality describes the graph?

Answer 1

Answer:

A. $y\geq \frac{3}{2} x-3$

Step-by-step explanation:

We are given a graph and we are to determine which inequality is described by the graph.

Since the graph has a solid line that means that the inequality includes the points on the line and must contain an equal sign.

So we will substitute the point (0, 0) to find the correct inequality.

$y\geq \frac{3}{2} x-3$

$0\geq \frac{3}{2} (0)-3$

$0\geq 3$ - true

$y\leq \frac{3}{2} x-3$

$0\leq \frac{3}{2} (0)-3$

$0\leq 3$ - false

Therefore, the correct inequality is $y\geq \frac{3}{2} x-3$.

Answer 2

For this case it is observed that the border of the region is not dotted, then the inequality includes an equal.

Thus, we discard options C and D.

We substitute the point (0,0) and see if it is fulfilled:

$y\geq\frac {3} {2} x-3\\0 \geq\frac {3} {2} (0) -3\\0 \geq0-3\\0 \geq-3$

It is fulfilled, so the correct option is A.

Answer:

Option A