Question

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 < –3 and t ≤ 5

Answer 1

c) –3 < t ≤ 5

-step explanation:

Answer 2

Option C : t

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 ..