Answer:
The required inequality is: 12 ≤ 3x < 21
Step-by-step explanation:
We are given: three times a number is greater than or equal to 12 and less than 21
We need to answer following questions:
1) The inequality translated in numerical form
Let number = x
12 ≤ 3x < 21
2) Your work solving the inequality
We need to find value of x. Divide the inequality by x
4 ≤ x < 7
3) The solution graphed on a number line
It is shown in figure attached.
4) The solution in set notation
The set notation is: Considering x belongs to natural numbers N
{∀ x|x∈N, 4 ≤ x < 7}
5) The solution in interval notation
The interval notation is: [4,7)
because we have 4 less than equal to x and x is less than 7
Answer: is it on chart? if count rise over run
Step-by-step explanation:
'of' means multiply
half a dozen means 12/2=6
6 of one thing means 6 times x
plus means ad
half a dozen of another mean 6 times y
they are added
6x+6y
2 variables
it says 'of the other' so they are diferent
Simplify the given expression as shown below

<h2>Therefore, the answer is 12x^5-15x^2</h2>