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Systems of Linear Inequalities
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Systems of Linear Inequalities
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9. Inequalities and Absolute Value / Systems of Linear Inequalities / Problem 2
Problem 2
Put the inequality 2x + 5y ≤ 10 into slope-intercept form, identify the y-intercept and slope, and state whether the boundary is solid or dashed.
A
y ≥ (-2/5)x + 2; slope -2/5; y-intercept 2; dashed boundary because of negative slope.
B
y < (-2/5)x + 2; slope -2/5; y-intercept 2; dashed boundary since dividing by 5 changes the sign of the inequality.
C
y ≤ (-2/5)x + 2; slope -2/5; y-intercept 2; solid boundary.
D
y ≤ (5/2)x - 10; slope 5/2; y-intercept -10; solid boundary.
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