Question

The set of all integer values of x that satisfy the inequality 19 ≤ 3x ≤ 27 is

• A. {-9,-8,-7,-6}
• B. {-9,-6}
• C. {7, 8, 9}
• D. {-9,-8,-7,…….,4,5,6}
• E. Ø

Answer 1

The Correct Option is C

The set of all integer values of x that satisfy the inequality 19 ≤ 3x ≤ 27 is {7, 8, 9}. 

Explanation:

To solve the inequality 19 ≤ 3x ≤ 27, we first divide each part of the inequality by 3:

19 ÷ 3 ≤ x ≤ 27 ÷ 3

Which simplifies to:

6.33 ≤ x ≤ 9

The integer values of x that satisfy this inequality are the integers between 6.33 and 9, inclusive, which are {7, 8, 9}.