Answer:
○ A. Graph C
Step-by-step explanation:
Starting from the y-intercept of [tex]\displaystyle [0, -4],[/tex]you do [tex]\displaystyle \frac{rise}{run}[/tex]by either moving one block south over four blocks west or one block north over four blocks east. Now, you have to figure out which graph follows the inequality symbol in the inequality. In this case, two answer choices match this because the less than inequality will result in a dashed line, so we can automatically eliminate answer choices D. and B.. Now, to figure out our graph once in for all, we need to use the zero-interval test [test point [0, 0]] to ensure if we either shade the opposite portion [the portion that does NOT contain the origin] or the portion that DOES contain the origin. We then need to verify it as false or true:
[tex]\displaystyle 0 < \frac{1}{3}[0] - 4 → 0 ≮ -4[/tex]
This is a FALSE statement, so instead of shading above the dashed line, we shade below the dashed line, and that answer choice is A..
>, < → Dashed Line
≥, ≤ → Solid Line
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