Question

Which statement is true? The equation –3|2x + 1.2| = –1 has no solution. The equation 3.5|6x – 2| = 3.5 has one solution. The equation 5|–3.1x + 6.9| = –3.5 has two solutions. The equation –0.3|3 + 8x| = 0.9 has no solution.

Answer 1

Answer: the equation-0.3|3+8x|=0.9 has no solution

Step-by-step explanation:

Answer 2

The correct answer is:

The equation –0.3|3 + 8x| = 0.9 has no solution.

Explanation:

When solving an absolute value equation, the first thing we cancel is any number outside of the absolute value bars. Once we do this, if we have an absolute value equal to a negative number, there is no solution.

In the last equation, once we cancel the -0.3 (by dividing), we will have |3+8x|=-3. Absolute value is distance, and distance cannot be zero, so this has no solution.