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

{t | t < –3}


b)

{t | t < –3 or t ≥ 5}


c)

{t | –3 < t ≤ 5}


d)

{t | t < –3 and t ≤ 5}

Respuesta :

absor201

Answer:

Option C : {t|t>-3 and t≤5}

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|t>-3 and t≤5}

Option C is correct ..

Answer:

c)    {t | –3 < t ≤ 5}

-step explanation:

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