Question

I need the answer as fast as possible I have to go right now

Answer 1

Given:

The objective is to choose the correct inequality for the graph.

From the graph, the y intercept is 4 and the x intercept is 3. Since both intercepts are at positive values, the equation of inequality will have positive coefficients.

Also, the shaded region is on the left side of the graph, then the symbol used for inequality will be,

`4x+3y\le C`

Here, C represents the constant.

Consider option (A).

`4x+3y\le12`

The graph of the above inequality will be,

Conider the next inequality,

`x\le0`

Then, the graph of the inequality will be,

On combining the graphs,

Thus, the correct inequality of the given graph is,

`\begin{gathered} 4x+3y\le12, \\ x\ge0 \end{gathered}`

Hence, option (1) is the correct answer.