Cameron is building a model of the Eiffel Tower
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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
The standard form of a line is in the form
A, B and C are integers, and A is positive. Let's start with multiplying the whole equation by 3 to get rid of denominators:
Subtract 3y from both sides:
Which of course is equivalent to
Which is the standard form, given the coefficients A=1, B=-3, C=6.