Question

Which of the following is the solution set of –4 < 3t + 5 ≤ 20?

a)

t


b)

t < –3 or t ≥ 5


c)

–3 < t ≤ 5


d)

t

Answer 1

c is the answer

Explanation:

all work is shown and pictured

Answer 2

For this case we must indicate the solution of the following inequality:

`-4 <3t + 5 \leq20`

Subtracting 5 on all three sides we have:

`-4-5 <3t + 5-5 \leq20-5\\-9 <3t \leq15`

DIvid between 3 on all three sides we have:

`\frac {-9} {3} <\frac {3} {3} t \leq\frac {15} {3}\\-3 <t \leq5`

Thus, the solution is given by:
`t: (- 3,5]`

Answer:

Option C