Question

Which of the following is the solution set of the problem?

Answer 1

2 less than a number n is (n - 2 ) and 3 times this is 3(n - 2 ), thus

3(n - 2) ≥ 5n ( greater than or equal to 5 times n )

3n - 6 ≤ 5n ( subtract 3n from both sides )

- 6 ≥ 2n ( divide both sides by 2 )

- 3 ≥ n or n ≤ - 3

Since n is less than or equal to - 3 use bracket ]

n ∈ ( - ∞, - 3 ] ← solution set

Answer 2

Three times two less than a number is greater than or equal to five times the number. The set of n will be (-∞ , -3]. Option B is correct.

What is Inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.

Given

Three times two less than a number is greater than or equal to five times the number.

How to find the equation and its solution?

Let n be the number.

Three times two less than a number is greater than or equal to five times the number. Then equation will be

3(n - 2) ≥ 5n

On simplifying the equation, we get

 3n - 6 ≥ 5n

5n - 3n ≤ - 6

      2n ≤ - 6

        n ≤ - 3

So the set of n will be (-∞ , -3].

More about the inequality link is given below.

https://brainly.com/question/19491153