Solve the compound inequality. 2(x − 2) + 7 > −1 and 5 − 4x > 9
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Answer:
The answer to your question is below
Step-by-step explanation:
Process
1.- Get two points of each line to find the equation of each line
Continuous line A (-10, 0) B (0, 9)
Dotted line C (-2, -3) D (0, -10)
Slope continuous line m =
Slope dotted line m =
2.- Get the equation of each line
Continuous line y + 0 = 9/10 (x + 10)
y = 9/10x + 9
Dotted line y + 3 = -7/2(x + 2)
y + 3 = -7/2x - 7
y = -7/2x -7 - 3
y = -7/2x - 10
3.- Find the inequalities
<u> Continuous line</u> (we need the upper area of the line, we use ≥)
y ≥ 9/10x + 9
The <u>Dotted line</u> (we also need the upper area, we use >)
y > -7/2x - 10
(alternate interior angles theorem)
(alternate segment theorem)
(angles in a triangle add to 180 degrees)