1). Describe the solutions of 1/3x => 2 in words.
A: The solutions of 1/3x => 2 are all real numbers greater than or equal to 2?
2). Citizens less than 18 years old are not allowed to vote. Define a variable and write an inequality for the ages of citizens who are not allowed to vote.
A: c < 18
1. no
you want all numbers x such that 1/3 of such a number is greater than or equal to 2
or
(1/3)x ≥ 2
times 3
x ≥ 6
So you want all real number which are greater than or equal to 6
2. good
1). To describe the solutions of 1/3x >= 2 in words, we can say that the solutions are all real numbers x greater than or equal to 6.
2). To define a variable and write an inequality for the ages of citizens who are not allowed to vote, we can define the variable as "a" and write the inequality a < 18. This means that the age "a" is less than 18 years.
To describe the solutions of the inequality 1/3x ≥ 2 in words, we need to understand the concept of inequalities and how to solve them.
First, let's rewrite the inequality without the fraction: x/3 ≥ 2.
To get rid of the fraction, we can multiply both sides of the inequality by 3. However, when multiplying or dividing an inequality by a negative number, we have to reverse the direction of the inequality sign. In this case, since 3 is positive, the direction of the inequality remains the same.
Multiplying both sides of the inequality by 3, we have: (3)(x/3) ≥ (3)(2), which simplifies to x ≥ 6.
So the solution to the inequality is all real numbers greater than or equal to 6. In other words, any value of x that is greater than or equal to 6 will make the inequality true.
Regarding the second question about citizens under 18 not being allowed to vote, we can use a variable to represent someone's age. Let's use c to represent the age of a citizen.
The inequality for the ages of citizens who are not allowed to vote can be written as c < 18, which means that the variable c must be less than 18 for someone to be ineligible to vote.
Any value of c that is less than 18 will satisfy the inequality, indicating that citizens must be under 18 years old to be prohibited from voting.