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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.

User OldTroll
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1 Answer

3 votes

Answer:

Option (2) is correct.

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

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.

Which is true about the solution to the system of inequalities shown? y < x – 1 y-example-1
User KevinKim
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