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Elza [17]
3 years ago
11

Select the system of linear inequalities whose solution is graphed. Please help !!!!

Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

\boxed{y\geq 3x-2, \ x+2y\leq 4}

<h2>Explanation:</h2>

First of all, we need to know the equations of the given lines. According to the options the equations of the lines are:

1. First equation: Written in Slope-Intercept Form:

y=3x-2

2. Second equation: Written in Standard Form:

x+2y=4

According to the graph, both lines are dashed meaning both inequalities must include either ≥ or ≤. So let's taste a point on the coordinate system in order to know which option is satisfied:

Hence, let's take point (0, 0):

y \ (?) \ 3x-2 \\ \\ 0 \ (?) \ 3(0)-2 \\ \\ 0 \ (?) \ -2 \\ \\ \\ So \ 0 \ is \ greater \ than \ -2: \\ \\ 0\geq  2 \\ \\ \\ \\ x+2y \ (?) \ 4 \\ \\ 0+2(0) \ (?) \ 4 \\ \\ 0 \ (?) \ 4 \\ \\ \\ So \ 0 \ is \ less \ than \ 4: \\ \\ 0\leq  4

Therefore, the correct option is:

\boxed{y\geq 3x-2, \ x+2y\leq 4}

<h2>Learn more:</h2>

System of inequalities: brainly.com/question/12890742

#LearnWithBrainly

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