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For Problems 21 and 22, use Figure 4.5a.

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Leno4ka [110]4 years ago

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omg college math is so hard omg i feel baddddddd

Step-by-step explanation:

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Correct graph is C

Step-by-step explanation:

Given two inequalities are:

1. $y\leq -3x+1$

2. $y\leq x+3$

Step1 : Remove the inequalities

1. $y=-3x+1$

2. $y=x+3$

Step2 : Finding intersection points of equations

By solving linear equation

$y=-3x+1=x+3$

$-3x+x+3$

$x=-0.5$

Replacing value of x in any equations

we get,

$y=x+3\\$

$y=-0.5+3$

$y=2.5$

Therefore, Point of intersection is (-0.5,2.5)

Step3: Test of origin (0,0)

Here, If inequalities holds true for origin then, shades the graph towards the origin.

For equation 1.

$y\leq -3x+1$

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For equation 2.

$y\leq x+3$

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$0\leq 3$

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Thus, Correct graph is C

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