Which number is NOT a solution of the inequality 3x 4 6Sol
Which number is NOT a solution of the inequality |3x + 4| < 6?
Solution
| 3x + 4 | < 6
when the absolute value sign is removed we get
-6 < 3x + 4 < 6
subtracting 4 from both sides
-6 - 4 < 3x < 6 - 4
-10 < 3x < 2
dividing both sides by 3
-10/3 < x < 2/3
therefore, solution of this inequality is all values of x lying between -10/3 to 2/3
values of x less than -10/3 and greater than 2/3 is NOT a solution of the inequality
