which statement is true?\nthe equation -3|2x + 1.2| = -1 has no solution.\nthe equation 3.5|6x - 2| = 3.5…

Explanation:

Step1: Recall absolute - value equation property

The absolute - value equation (|a| = b) has solutions when (b\geq0). If (b < 0), the equation (|a|=b) has no solutions.

Step2: Analyze the first equation (-3|2x + 1.2|=-1)

First, rewrite it as (|2x + 1.2|=\frac{1}{3}). Since (\frac{1}{3}>0), this equation has two solutions.

Step3: Analyze the second equation (3.5|6x - 2| = 3.5)

Rewrite it as (|6x - 2| = 1). Since (1>0), this equation has two solutions ((6x-2 = 1) or (6x - 2=-1)).

Step4: Analyze the third equation (5|-3.1x + 6.9|=-3.5)

Rewrite it as (|-3.1x + 6.9|=-0.7). Since (-0.7<0), this equation has no solutions.

Step5: Analyze the fourth equation (-0.3|3 + 8x|=0.9)

Rewrite it as (|3 + 8x|=- 3). Since (-3<0), this equation has no solutions.

Answer:

The equation (-0.3|3 + 8x| = 0.9) has no solution.