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

Question

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

a)

a ≤ –1 or a ≥ 4


b)

–1 ≤ a ≤ 4


c)

a


d)

a

Answer 1

the answer is c

Explanation:

all work is pictured

Answer 2

For this case we must indicate the solution of:

`2a + 1> 9`or
`a <-1`

From the first inequality we have:

`2a + 1> 9`

Subtracting 1 from both sides:

`2a> 9-1\\2a> 8`

Dividing between 2 on both sides:

`a> \frac {8} {2}\\a> 4`

Thus, we have:

`a> 4`or
`a <-1`

The solution will be:

(4,∞) or (-∞, - 1)

Answer:

Option C