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Solution of y - x < -3

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Answer:

Explanation:

The inequality y - x < -3 should be solved for y, as follows:

Add x to both sides, obtaining:

y < x - 3

Note that this y < x - 3 has the form y = mx + b, which represents a straight line. In this case the straight line would be y = x - 3, meaning that the slope of this line is 1 and the y-intercept is -3.

Because y < x - 3 involves the inequality symbol <, draw a dashed line, not a solid line. The solution set consists of all points on the graph BELOW this dashed line y < x - 3.

User Eric Amodio
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