Solve: 5.6 = 3.1 – 12.5|1 – 0.8x|

5.6 = 3.1 – 12.5|1 – 0.8x|
2.5 = –12.5|1 – 0.8x|
–0.2 = |1 – 0.8x|

finish the steps shown to find the possible value(s) for x that make the statement true.
a. x = –1 or x = 1.5

b. x = 1 or x = –1.5

c. x = 0

d. there are no solutions.

Option: D is the correct answer.

                     D. There are no solutions.

Since, in the given steps for solving the given linear expression the last step or expression that is obtained is given by:

Now as we know that the modulus of any number can't be negative.

But in the given expression we have that the modulus of a expression is negative (i.e. -0.2)

Hence, such a system has no solution.

           Hence, option: D is correct.

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: