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.
2 answers:
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.
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You can square the whole problem to cancel out the square root. Might make things easier.
