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Archy [21]
3 years ago
8

The inequality of the graph

Mathematics
1 answer:
fiasKO [112]3 years ago
3 0

Answer:

\displaystyle y > 4x - 2

Step-by-step explanation:

Starting from the y-intercept of \displaystyle [0, -2],you do \displaystyle \frac{rise}{run}by either moving four blocks <em>south</em><em> </em>over one block <em>west</em><em> </em>or four blocks <em>north</em><em> </em>over one block<em> east</em><em> </em>[<em>west</em> and <em>south</em> are negatives]. Next, we have to determine the types of inequality symbols that are suitable for this graph, which will be <em>less</em><em> </em><em>than</em><em> </em>and <em>greater</em><em> </em><em>than</em><em> </em>since this is a <em>dashed</em><em> </em><em>line</em><em> </em>graph. We then use the zero-interval test [test point (0, 0)] to ensure whether we shade the opposite portion [portion that does not contain the origin] or the portion that DOES contain the origin. At this step, we must verify the inequalities as false or true:

<em>Greater</em><em> </em><em>than</em>

\displaystyle 0 > 4[0] - 2 → 0 > -2☑

<em>Less</em><em> </em><em>than</em><em> </em>

\displaystyle 0 < 4[0] - 2 → 0 ≮ -2

This graph is shaded in the portion of the origin, so you would choose the <em>greater</em><em> </em><em>than</em><em> </em>inequality symbol to get this inequality:

\displaystyle y > 4x - 2

I am joyous to assist you anytime.

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