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Graph and shade the inequality y<4/5x+3

2 Answers

3 votes

first off, let's notice something, we are using < or less than, which means our line will be a dashed line, meaning it will not include points at the borderline, and after that, let's then graph the line for y = (4/5)x + 3, the EQUATion equivalent.

we'll do a true/false check on the regions of the line, to see which region gets shaded, namely which one is the "true" region.

well, let's try say hmmm point (0,0) where x = 0 and y = 0, let's check that


\bf y~~<~~\cfrac{4}{5}x+3\implies \stackrel{x=0\qquad y=0}{0~~<~~\cfrac{4}{5}(0)+3}\implies 0~~<~~3

now hmmmm is 0 really less than 3? is that really true? yeap, 0 is indeed smaller than 3, that means that the (0,0) point lies on the "true" region, and that's the one we'll shade.

Check the picture below.

Graph and shade the inequality y<4/5x+3-example-1
User Flea Whale
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4.3k points
1 vote

Answer:

Iā€™m not sure but ask google

Explanation:

Googles always right

User Mark Leusink
by
3.5k points