Answer:
Part 1: x ≥ 17/9
Part 2: x is greater than or equal to seventeen ninths.
Part 3: using x= 3 and 4 respectively, the solution was verified
The complete statement related to this found on brainly (ID: 2020133) is stated below:
Use the inequality to answer Parts 1-3.
-3(x - 2) ≤ one third
Part 1: Solve the inequality. Leave answer in terms of a whole number or reduced improper fraction.
Part 2: Write a verbal statement describing the solution to the inequality.
Part 3: Verify your solution to the inequality using two elements of the solution set.
Use a word processing program or handwrite your responses to Parts 1-3. Turn in all three responses.
Step-by-step explanation:
Part 1) The inequality: -3(x - 2) ≤ one third
-3(x - 2) ≤ ⅓
Multiply through by 3
-3(3)(x-2) ≤ 3(⅓)
-9(x-2) ≤ 1
Expand the bracket
-9x + 18 ≤ 1
Collect like terms
-9x ≤ 1-18
-9x ≤ -17
Divide through by coefficient of x (-9)
-9x/-9 ≤ -17/-9
When you divide an expression in inequality by a negative sign, the inequality sign changes
x ≥ 17/9
Part 2) the verbal statement of the solution:
x is greater than or equal to seventeen ninths.
Part 3) We would verify the solution to the inequality using two elements of the solution set greater than 17/9.
17/9 = 1.89
Let's use x= 3 and x = 4. As they are greater than 17/9
-3(x - 2) ≤ ⅓
When x= 3
-3(3 - 2) ≤ ⅓
-3(1) ≤ ⅓
-3 ≤ ⅓
This satisfies the solution of the inequality
When x= 4
-3(4 - 2) ≤ ⅓
-3(2) ≤ ⅓
-6 ≤ ⅓
This satisfies the solution of the inequality
