Answer:
Step-by-step explanation:
Given the fraction
Multiplying numerator and denominator by 5
Therefore,
Similarly,
Given the fraction
Multiplying numerator and denominator by 2
Therefore,
Change the fraction into a decimal
Plugging in the values of (-4,2) into the two inequality statements to see whether it is part of the solution to the inequality system:
y ≥ -5x + 3
2 ≥ -5(-4) + 3
2 ≥ 20 + 3
2 ≥ 23 (false statement).
For the other inequality statement, substitute 2 for the y value:
y > -2
2 > -2 (true statement).
Since (-4,2) only satisfies one of the inequality statements, then it means that it is not a solution to the graph.
Therefore, the correct answer is FALSE.
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12 - 2x = -2(y - x)
12 - 2x = -2y - (-2x)
12 - 2x = -2y + 2x
12 - 2x - 2x = -2y + 2x - 2x
12 - 4x = -2y
12 - 12 - 4x = -2y - 12
-4x = -2y - 12
-4x/4 = -2y/4 - 12/4
-x = -0.5y - 3
-x/-1 = -0.5y/-1 - 3/-1
x = 0.5y + 3
or
x = 3 + 0.5y
