contestada

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 :

meredith48034

Answer:

c is the answer

Step-by-step explanation:

all work is shown and pictured

Ver imagen meredith48034
carlosego

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

[tex]-4 <3t + 5 \leq20[/tex]

Subtracting 5 on all three sides we have:

[tex]-4-5 <3t + 5-5 \leq20-5\\-9 <3t \leq15[/tex]

DIvid between 3 on all three sides we have:

[tex]\frac {-9} {3} <\frac {3} {3} t \leq\frac {15} {3}\\-3 <t \leq5[/tex]

Thus, the solution is given by: [tex]t: (- 3,5][/tex]

Answer:

Option C

Otras preguntas