Question

Which is true about the solution to the system of inequalities shown? y < x – 1 y < x – 3 All values that satisfy y < x – 1 are solutions. All values that satisfy y < x – 3 are solutions. All values that satisfy either y < x – 1 or y < x – 3 are solutions. There are no solutions.

Answer 1

solution of a system of linear equations

Answer 2

Answer:

Option (2) is correct.

All values that satisfy y < x – 3 are solutions.

Step-by-step explanation:

Given two inequality y < x – 1  and y < x – 3

We have to choose out of given options that is true  about the solution to the system of inequalities given.

Step 1: We first plot both the inequality in the graph.(as shown below)

Step 2: Choose a test point to determine which side of the line needs to be shaded.

Step 3: the solution to the system will be the area where the shadings from both the inequality overlap one another.

Thus, All values that satisfy y < x – 3 are solutions.

Thus, Option (2) is correct.