Answered

Get detailed and accurate responses to your questions with IDNLearn.com. Our platform provides prompt, accurate answers from experts ready to assist you with any question you may have.

Describe the values of c for which the equation has no solution.
-|3+x|=c

a. c≤0
b. c>0
c. c<0
d. c≥0

Sagot :

XKelvinidn

Answer:

B

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle -\left|3 + x\right| = c[/tex]

And we want to determine the values of c for which the equation has no solution.

Recall that absolute values can only output zero or positive values.

Rewrite the equation:

[tex]\displaystyle \left | 3 + x \right| = -c[/tex]

Hence, in order to have no solution, -c must be negative. That is:

[tex]\displaystyle - c < 0[/tex]

Simplify:

[tex]\displaystyle c > 0[/tex]

Hence, our answer is B.

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.