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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.

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