The slope is 0 so it's a horizontal line parallel to the x-axis. All the values of y are the same. The line passes through the point (1,8), so y=8.
Can someone help me solve this?!
2 answers:
To solve an inequality, you solve it just like an equation with an = sign
y-3 ≥ -12
Add 3 to both sides
y ≥ -9
What this means is that y could be any number as long as it’s greater than (bigger) or equal to -9, so y could equal -9, -3, 100, or 0 but could not equal -10,-11, -9.3, or anything less than -9
To graph this, first write in numbers below each of the lines. You want to show -9, a few numbers less than -9 and a few numbers greater than -9. It could look like this:
-11 -10 -9 -8 -7 -6 -5
Then, draw a filled in circle above -9. This shows that y can equal -9. Starting from where you drew the circle, draw an arrow to the right until the graph ends. This shows that y could be any of these numbers greater than -9, too.
I attached an example of a filled in number line for a different problem so you could see what it looks like. I hope this helps!
y-3 ≥ -12
Add 3 to both sides
y ≥ -9
What this means is that y could be any number as long as it’s greater than (bigger) or equal to -9, so y could equal -9, -3, 100, or 0 but could not equal -10,-11, -9.3, or anything less than -9
To graph this, first write in numbers below each of the lines. You want to show -9, a few numbers less than -9 and a few numbers greater than -9. It could look like this:
-11 -10 -9 -8 -7 -6 -5
Then, draw a filled in circle above -9. This shows that y can equal -9. Starting from where you drew the circle, draw an arrow to the right until the graph ends. This shows that y could be any of these numbers greater than -9, too.
I attached an example of a filled in number line for a different problem so you could see what it looks like. I hope this helps!
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The number of ways when the choice is not relevant is 4
<h3>How to determine the number of ways?</h3>The number of colors are:
Colors, n = 4
The color to choose are:
r = 3
<u>Relevant choice</u>
When the choice is relevant, we have:
This gives
Evaluate
Ways = 24
Hence, the number of ways when the choice is relevant is 24
<u>Not relevant choice</u>
When the choice is not relevant, we have:
This gives
Evaluate
Ways = 4
Hence, the number of ways when the choice is not relevant is 4
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