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Which of the following is the solution set of 2a + 1 > 9 or a < –1?
a)

{a | a ≤ –1 or a ≥ 4}


b)

{a | –1 ≤ a ≤ 4}


c)

{a | a < –1 or a > 4}


d)

{a | a < –1 or a > 5}

Respuesta :

meredith48034

Answer:

the answer is c

Step-by-step explanation:

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carlosego

For this case we must indicate the solution of:

[tex]2a + 1> 9[/tex]or [tex]a <-1[/tex]

From the first inequality we have:

[tex]2a + 1> 9[/tex]

Subtracting 1 from both sides:

[tex]2a> 9-1\\2a> 8[/tex]

Dividing between 2 on both sides:

[tex]a> \frac {8} {2}\\a> 4[/tex]

Thus, we have:

[tex]a> 4[/tex]or [tex]a <-1[/tex]

The solution will be:

(4,∞) or (-∞, - 1)

Answer:

Option C

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