## Which statements are true about y Less-than-or-equal-to 8 and its graph? Check all that apply. y = 0 is part of the solution set.

Question

Which statements are true about y Less-than-or-equal-to 8 and its graph? Check all that apply.
y = 0 is part of the solution set.
y = 8 is part of the solution set.
y = 10 is part of the solution set.
There is an open circle on the graph at 8.
There is a closed circle on the graph at 8.
The arrow on the graph points left.
The arrow on the graph points right.

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7 days 2021-11-21T15:41:30+00:00 2 Answers 0 views 0

1. When the inequality sign is </> (less than/greater than), the dot is an open circle.

When the inequality sign is ≤/≥ (less than or equal to/greater than or equal to), the dot is a closed circle.

y = number that is a solution/makes the inequality true

y ≤ 8      (y is any number less than or equal to 8)

#1:    y = 0 is part of the solution set.

Yes because if you substitute/plug in 0 into “y” in the inequality, since y = 0:

0 ≤ 8         0 is less than 8.

#2:     y = 8 is part of the solution set.

Yes because if you plug it into the inequality:

8 ≤ 8       8 is equal to 8

#3:     y = 10 is part of the solution set.

No because if you plug it into the inequality:

10 ≤ 8         10 is not less than or equal to 8

#4:     There is an open circle on the graph at 8.

No because the inequality sign is ≤, so there should be a closed circle on 8.

#5:      There is a closed circle on the graph at 8.

Yes because the inequality sign is ≤

#6:    The arrow on the graph points left.

Yes because if the arrow is pointing left then the numbers are decreasing, and y is any number less than or equal to 8.

#7:     The arrow on the graph points right.

No because if the arrow is point right then the numbers are increasing, but y is not a number greater than 8.