Q42. - Algebra 2

Question

Choose the correct inequality for the graph

The options are

$\begin{array}{l}A.y<3x+2\\ B.y\le 3x+2\\ C.y>3x+2\\ D.y\ge 3x+2\end{array}$

Step-by-Step Solution

Answer

Here, option A is correct

The inequality for the graph is

$y<3x+2$

Step-1 &ndash; Apply the concept of plotting graph.

Here we have to represent the points to the left of the equation$y<3x+2$

The graph of the function is given as

Step-2 &ndash; Use the concept of dashed and solid line to check the inequality from the graph.

The sign less than $<$ shows that graph is under the line and which is shown by dashed line in the graph.

Similarly, the sign greater than $>$ shows that graph is above the line and which is also shown by dashed line in the graph.

But in case of sign $\le$ But in case of shows that graph is under the line and is solid.

Also, the sign $\ge$ the sign but in case of shows that graph is above the line and is solid.

Therefore, the graph shows that inequality is $y<3x+2$

Hence, option A is correct.