is my working step wrong? the quaestion is find the range of values of x that satisfy the inequalities by using basic definition
Accepted Solution
A:
Answer:x < -2Step-by-step explanation:2|x| > 3x + 10Divide both sides by 2.|x| > 1.5x + 5********************************************************An absolute value inequality of the form|X1| > X2where X1 and X2 are expressions in x is solved by solving the compound inequalityX1 > X2 or X1 < -X2********************************************************Back to your problem.|x| > 1.5x + 5x > 1.5x + 5 or x < -(1.5x + 5)-0.5x > 5 or x < -1.5x - 5x < -10 or 2.5x < -5x < -10 or x < -2Since x < -10 is included in x < -2, the solution isx < -2