Fill in the system of linear inequalities with >,< so that that graph represents the system

Answers:  

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Explanation:

The shaded region is above the boundary line y = 3x-2, which means that y > 3x-2 indicates every point mentioned. Try out something like (x,y) = (2,7) which is in the blue region, and you'll see that...

y > 3x-2

7 > 3(2) - 2

7 > 6 - 2

7 > 4

We get a true statement at the end, which confirms (2,7) is in the solution region. I'll let you try other points.

The same idea applies to the other inequality as well. We're above this boundary line, but we also include it due to the solid line. So we'll have to tack on a "or equal to" as part of the inequality sign.

In contrast, the dashed boundary line means points on it are not part of the solution set. For example, the point (1,4) is not in the solution region but the point (2,4) is in the solution region.

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation:

1/5x+9 2/5y+7

step-by-step explanation: