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

a)

t < - 3

b)

t < - 3 or t ≥ 5

c)

-3 < t ≤ 5

d)

t

Option C : t

Step-by-step explanation:

The given question is:

-4 < 3t + 5 ≤ 20

It can be broken down to two inequalities

Inequality 1:

-4<3t+5

Subtracting 5 from both sides

-4-5<3t+5-5

-9<3t

Switching sides

3t>-9

Dividing both sides by 3

t >-3

Inequality 2:

3t + 5 ≤ 20

Subtracting 5 from both sides

3t+5-5 ≤ 20-5

3t ≤15

Dividing both sides by 3

t ≤ 5

So the solution is - 3 < t ≤ 5

Hence the correct answer is:

t>-3 and t≤5

Option C is correct ...