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.

Question

Valerie Daniels

Mathematics

14 July, 04:53

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.

+1

Answers (1)

Know the Answer?

Donavan Galloway · Answer 1

Part 1: Rearranging the inequality

-3 (x - 2) ≤ 1/3

Divide both sides by - 3 (remember this changes the inequality)

x - 2 ≥ - 1/9

Subtract - 2 from both sides

x ≥ 17/9

Part 2: Verbal statement

x is greater than or equal to seventeen ninths.

Part 3: Verification

Try a number smaller and a number larger than 17/9

Trying 2

-3 (2 - 2) = 0 and 0 ≤ 1/3 so it is true for 2

Trying 1

-3 (1 - 2) = 3 and 3 ≥ 1/3 so it is true for 1