Question

Consider the system of inequalities and its graph. y ≤ –0.75x y ≤ 3x – 2 In which section of the graph does the actual solution to the system lie? 1 2 3 4

Answer 1

sorry for not knowing your question

Answer 2

Answer:

The solution region is lying in the 3rd and 4th quadrant.

Step-by-step explanation:

We are given the inequalities,

$y \leq -0.75x$ and $y \leq 3x - 2$

Using the 'Zero test' i.e. substitute (0,0) in the inequalities, we have,

$y \leq -0.75x$ implies 0 ≤ 0, which is true

and  $y \leq 3x - 2$ implies 0 ≤ -2, which is false.

Thus, the graph of the inequality $y \leq -0.75x$ is towards the origin and the inequality  $y \leq 3x - 2$ is away from the origin.

Thus, we get the following graph for the solution region.

From, the graph we see that,

The solution region is lying in the 3rd and 4th quadrant.