Question

Am I right?

Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution.


Equation #1 Equation #2

-5|3x - 2| = -15 |2x - 9| = 11

A. Equation #1 and Equation #2 have the same number of solutions.

B. Equation #1 has more solutions than equation #2.

C. Equation #1 has fewer solutions than equation #2.

D. None of the statements above describe the number of solutions to equations shown.

Answer 1

I think its A.

Answer 2

I believe you're right. Moduli almost always give 2 distinct answers. You may want to solve and double check to be sure though.

Answer 3

I did solve.
For the first equation I got x=-2.6(6 is repeated) and x=-4
Fot the second equation I got x=10 and x=1

Answer 4

Looking at Equation 2, it appears it would have two solutions.

Answer 5

Yup, so A would be the answer.

Answer 6

Thanks :]

Answer 7

Anytime, if you have any more queries, don't hesitate to ask!

Answer 8

Okie, Imma give you a medal swaschan, and you give a medal to radar so we are all even. :] You both helped ^.^

Answer 9

2x - 9 = 11
2x - 9 = -11

Answer 10

Solving 2 would give you x = 10 and x = -1.
While looking at equation it looks like it may be a little different as the absolute value is then multiplied by -5

Answer 11

-5|3x - 2| = -15
|3x-2| =-15/-5 = 3
I guess we would now solve same as before.
3x - 2 = 3
and
3x -2 = -3
ist cond.
3x = 5, x = 1 2/3
2nd cond
3x = -1 giving x = -1/3
Should verify by substituting in the original equation.
-5|3(5/3) - 2)| = -15
-5 (3) = -15 yup -15 = -15
other solutions check
-5|3(-1/3) - 2| = -15
-5(3) = -15, yup -15 = -15
Just had to prove it to myself, agree A

Answer 12

Should of been most obvious to the casual observer lol. Still proof is good.