Which linear inequality will not have a shared solution set with the graphed linear inequality?
2 answers:
Answer:
Option C. y > x + 2
Step-by-step explanation:
It is given in the graph the shaded part which is below the dotted line represents the inequality .
Now any inequality which having "greater than" notation between y and x will never have a shared solution set with the linear inequality already in the graph.
Therefore inequality y > x + 2 which will have shaded area above the line will not share the common shaded area.
Option C. is the correct answer.
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Answer:
mid point of AB (0.5 , 0)
Step-by-step explanation:
2x + 5y = 1 2x = 1 - 5y
y = 2xy+ 5 = (1 - 5y)*y + 5 = y - 5y² + 5
y-y = y - 5y² + 5 - y = - 5y² + 5
0 = - 5y² + 5
5y² = 5
y² = 1
y = 1 or y = -1
if y = 1 x = 1/2 (1 - 5) = -2 .... point A (-2 , 1)
if y = -1 x = 1/2 (1 + 5) = 3 ..... point B (3 , -1)
mid point of AB (x' , y') : x' = 1/2 (x₁ + x₂) = 1/2 (-2 + 3) = 1/2
y' = 1/2 (y₁ + y₂) = 1/2 (-1 + 1) = 0
