Solve the system of equations
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A person eating at a cafeteria must choose 4 of the 13 vegetables on offer. calculate the number of elements in the sample space for this experiment.
Answer: The number of elements in the sample space for this experiment can be found using the combination formula because the order does not matter here.
Therefore, the number of elements in the sample space for this experiment is:
Therefore, the number of elements in the sample space for this experiment is 715.
-5 ≤ 1 - 2x < 9
Let's first break this down into two different inequalities.
1 - 2x ≥ -5
Subtract 1 from both sides.
-2x ≥ -6
Divide both sides by -2
x ≤ 3
Now, let's do the second inequality.
1 - 2x < 9
Subtract 1 from both sides.
-2x < 8
Divide both sides by -2
x > 4
let's combine each inequality to get our reduced compound inequality.
-4 < x ≤ 3
To plot this, put a hollow point at -4. A hollow point looks something like the letter o.
And put the second point at 3. This time, fill in the point so it looks whole.
Now, connect your points.
It should look something like this:
