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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Answer:
a₆ = 12
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 5 and a₁₀ = 19 , then
a₁ + d = 5 → (1)
a₁ + 9d = 19 → (2)
Subtract (1) from (2) term by term to eliminate a₁
8d = 14 ( divide both sides by 8 )
d = 1.75
Substitute d = 1.75 into (1)
a₁ + 1.75 = 5 ( subtract 1.75 from both sides )
a₁ = 3.25
Then
a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12