Question

Select the system of linear inequalities whose solution is graphed.

(see picture) :)

Answer 1

(b) x > -3; 5y ≥ -4x -10

Explanation:

You want the system of inequalities that matches the graph.

Dashed line

The vertical dashed line at x = -3 indicates that boundary line is not included in the solution. The inequality will not be x ≥ -3, but will be x > -3. This eliminates the first and last answer choices.

Y-intercept

The solid line crosses the y-axis at y = -2, so the y-intercept of the inequality will be that value. This eliminates the third answer choice.

The second answer choice is shown in the graph:

x > -3; 5y ≥ -4x -10

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Additional comment

The slope of the solid boundary line is not quite as steep as -1, further confirmation that the second choice is correct. It has the boundary line slope as -4/5.

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