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Answer:
- y < -2x +3
- y > 1/2x -2
Explanation:
To find the equation of each boundary line, look for the y-intercept. Then find the rise and run to the next grid intersection to the right that is crossed by that line. The equation for the line is ...
y = mx + b . . . . . . m = rise/run = slope; b = y-intercept.
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The lines are both dashed, so the inequalities will not include the "or equal to" case. For line (1), the shading is below the line, so the appropriate inequality symbol is <. For line (2), the shading is above the line, so the appropriate inequality symbol is >.
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Line 1
y-intercept = +3. m = -2/1 = -2
y < -2x +3
Line 2
y-intercept = -2. m = 1/2
y > 1/2x -2