Question

"three times a number is greater than or equal to 12 and less than 21"

Complete the following steps to receive full credit for this question:
• The inequality translated in numerical form
• Your work solving the inequality
• The solution graphed on a number line
• The solution in set notation
• The solution in interval notation

Answer 1

The required inequality is: 12 ≤ 3x < 21

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∈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