Question

Enter a range of values for x: 26≤3x−9≤93

a) 11≤x≤34
b) 10≤x≤33
c) 9≤x≤32
d) 8≤x≤31

Answer 1

The range of values for x in the given inequality 26 ≤ 3x - 9 ≤ 93 is 11 ≤ x ≤ 34.

Step-by-step explanation:

The given inequality is 26 ≤ 3x - 9 ≤ 93. To solve this inequality, we need to isolate the variable x. First, we add 9 to all three parts of the inequality: 26 + 9 ≤ 3x - 9 + 9 ≤ 93 + 9. This simplifies to 35 ≤ 3x ≤ 102. Next, divide all three parts of the inequality by 3: 35/3 ≤ 3x/3 ≤ 102/3. This becomes 11.67 ≤ x ≤ 34. Therefore, the correct range of values for x is 11 ≤ x ≤ 34.