Question

Which inequality is represented by the given graph?10-10A. y ≤-32-5B. y ≤ 3x +5C. y ≥-3x - 5OD. y ≤ 3x-5

Answer 1

Given:

A graph is given

Required:

To calculate which option is correct

Step-by-step explanation:

Let the function is y=ax+b

because y=ax+b passes through

`\begin{gathered} ((5)/(3),0)\text{ and \lparen0,-5\rparen \lparen given\rparen} \\ \\ so\text{ b=-5 let it be equation I} \\ \\ (5)/(3)a-5=0\text{ let it be equation II} \\ \\ so\text{ a=3, b=-5} \\ \\ therefore\text{ y=3x-5} \\ \\ because\text{ the shaded area is below the line so} \\ \\ y\leq3x-5\text{ is represnted by given graph} \end{gathered}`

Required answer:

Option D