Solve the inequality −14a≥42, and write the solution in interval notation.
1 answer:
The solutions to the inequality are (-∞, -3] or a ≤ -3 if the inequality −14a≥ 42 graph is shown in the picture.
<h3>What is inequality?</h3>It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have an inequality:
−14a ≥ 42
-a ≥ 3
a ≤ -3
a ∈ (-∞, -3]
Thus, the solutions to the inequality are (-∞, -3] or a ≤ -3 if the inequality −14a≥ 42 graph is shown in the picture.
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Answer:
Step-by-step explanation:
This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr
i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.
I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.
Recall that
Consider question a) we are given (5 1) or ₅C₁
we can see that n = 5 and r = 1
If we substitute this into the formula:
₅C₁ = (5!) / [ (1!)(5- 1)!]
= (5!) / [ (5- 1)!]
= (5!) / (4!)
= (5·4·3·2·1) / (4·3·2·1)
= 5
hence ₅C₁ = 5