greystokey
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What is the solution to the compound inequality in interval notation?

2(x+3)>6  or  2x+3≤−7

A (−∞, −5] or (0, ∞)
B (−∞, 0) or [5, ∞)
C (−∞, −2] or (0, ∞)
D (−∞, −5] or (2, ∞)

Respuesta :

Riia

The given compound inequality is

[tex] 2(x+3)>6 \ or \ 2x+3\leq  -7 [/tex]

First we solve the first inequality,

[tex] 2(x+3)>6 \\ x+3 >3 \\ x>0 [/tex]

Now we solve the second inequality

[tex] 2x+3\leq -7 \\ 2x \leq  -7-3 \\ 2x\leq  -10 \\ x\leq  -5 [/tex]

So we have

[tex] x > 0 \ or  \ x\leq  -5 [/tex]

So the required solution is

[tex] ( - \infty,-5] \ or \ (0, \infty) [/tex]

Correct option is A .

sarbear97

Answer:

(−∞, −5] or (0, ∞)

Step-by-step explanation:

This is the correct answer.

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