Question
Mathematics Question on inequalities
Solve the inequality 2 ≤ 3x – 4 ≤ 5
Answer
2 ≤ 3x - 4 ≤ 5
⇒ 2 + 4 ≤ 3x - 4 + 4 ≤ 5 + 4
⇒ 6 ≤ 3x ≤ 9
⇒ 2 ≤ x ≤ 3
Thus, all the real numbers, x, which are greater than or equal to 2 but less than or equal to 3, are the solutions of the given inequality.
The solution set for the given inequality is [2, 3].