Mathematics: Solve the compound inequality, 2y-2 - 14 or 4y-4 ≥ 12 write the solution in interval notation, if there is no solution, enter ø.

I hope this helps you h.h-2.10.h+(-10).(-10)(h-10)^2...

Solve the compound inequality, 2y-2 - 14 or 4y-4

Ответ:

nnekas

31.12.2021

Mathematics

$\large\boxed{y\in(-6,\ \infty)}$

Step-by-step explanation:

$(1)\\2y-2-14\qquad\text{add 2 to both sides}\\\\2y-2+2-14+2\\\\2y-12\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}\dfrac{-12}{2}\\\\y-6$

$(2)\\\\4y-4\geq12\qquad\text{add 4 to both sides}\\\\4y-4+4\geq12+4\\\\4y\geq16\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}\geq\dfrac{16}{4}\\\\y\geq4$

$\text{From (1) and (2) we have:}\\\\y-6\ or\ y\geq4\to y\in(-6,\ \infty)\ \cup\ [4,\ \infty)\Rightarrow y\in(-6,\ \infty)$

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Solve the compound inequality,
2y-2> - 14
or
4y-4 ≥ 12
write the solution in interval notation,
if there is no solution, enter ø.

Ответ:

Ответ:

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Solve the compound inequality, 2y-2> - 14 or 4y-4 ≥ 12 write the solution in interval notation, if there is no solution, enter ø.

Ответ:

Ответ:

Ask your question to the AI advisor

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Answers on questions: Mathematics

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Solve the compound inequality,
2y-2> - 14
or
4y-4 ≥ 12
write the solution in interval notation,
if there is no solution, enter ø.