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trasher [3.6K]
3 years ago
11

For what value of c is the relation a function (2,8),(12,3),(c,4),(-1,8),(0,3)

Mathematics
1 answer:
Fittoniya [83]3 years ago
3 0
The value of c is { c | c ∈ R, c ∉ {-1,0,2,12} }.
c is a number such that it is not in the set {-1,0,2,12} else we end up with a domain value having multiple range values, contradicting with the definition of a function.


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<h3>Inequalities</h3>

Inequalities is a mathematic expression that do not present equalitiy between both sides. It is represented by symbols: <, ≤, > and ≥.

For solving this exercise, firstly, you should solve the inequalities identified by letters: H, W, M, Y and C. After that, you should relate yours anwers with the options given for the exercise.

  • Inequality H

                       -11x-4 > -15\\ \\ -11x > -15+4\\ \\ -11x > -11\; *(-1)\\ \\ 11x < 11\\ \\ x < 1

Therefore, you should connect H with x<1.

  • Inequality W

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Therefore, you should connect W with x>-2.

  • Inequality M

                       3+x\leq -9\\ \\ x\leq -9-3\\ \\ x\leq -12

Therefore, you should connect M with x≤-12.

  • Inequality Y

                       -7x+7\leq -56\\ \\-7x\leq -56-7\\ \\ -7x\leq -63\\ \\  -7x\leq -63\; *(-1)\\ \\ 7x\geq  63\\ \\ x\geq \frac{63}{7} \\ \\ x\geq 9

Therefore, you should connect Y with x≥9.

  • Inequality C

                       -20\geq -5x+15\\ \\Rewriting\\ \\ 5x+15\leq -20\\ \\ -5x\leq -20-15\\ \\ -5x\leq -35\\ \\-5x\leq -35\; *(-1)\\ \\ 5x\geq 35\\ \\ x\geq \frac{35}{5}  \\ \\ x\geq 7

Therefore, you should connect C with x≥7.

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M - x\leq -12

C - x\geq 7

Y- x\geq 9

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Read more about inequalities here.

brainly.com/question/25275758

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